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Finding the Fourth Proportional to 513,078.30, 769,617.45 and 341,836.20

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Solution

The fourth proportional to 513,078.30, 769,617.45 and 341,836.20 is: 512,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,078.30 : 769,617.45 = 341,836.20 : x
  2. Step 2: Convert to fraction form
    513,078.30/769,617.45 = 341,836.20/x
  3. Step 3: Cross multiply
    513,078.30x = 769,617.45 × 341,836.20
  4. Step 4: Simplify right side
    513,078.30x = 263,083,104,561.69
  5. Step 5: Solve for x
    x = 263,083,104,561.69/513,078.30
  6. Step 6: Final answer
    x = 512,754.30

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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.