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Finding the Fourth Proportional to 638,461.10, 957,691.65 and 414,512.30

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Solution

The fourth proportional to 638,461.10, 957,691.65 and 414,512.30 is: 621,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,461.10 : 957,691.65 = 414,512.30 : x
  2. Step 2: Convert to fraction form
    638,461.10/957,691.65 = 414,512.30/x
  3. Step 3: Cross multiply
    638,461.10x = 957,691.65 × 414,512.30
  4. Step 4: Simplify right side
    638,461.10x = 396,974,968,532.30
  5. Step 5: Solve for x
    x = 396,974,968,532.30/638,461.10
  6. Step 6: Final answer
    x = 621,768.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.