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Finding the Fourth Proportional to 414,532.40, 621,798.60 and 314,999.60

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Solution

The fourth proportional to 414,532.40, 621,798.60 and 314,999.60 is: 472,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532.40 : 621,798.60 = 314,999.60 : x
  2. Step 2: Convert to fraction form
    414,532.40/621,798.60 = 314,999.60/x
  3. Step 3: Cross multiply
    414,532.40x = 621,798.60 × 314,999.60
  4. Step 4: Simplify right side
    414,532.40x = 195,866,310,280.56
  5. Step 5: Solve for x
    x = 195,866,310,280.56/414,532.40
  6. Step 6: Final answer
    x = 472,499.40

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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.