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Finding the Fourth Proportional to 411,873.12, 616,850.10 and 400,521.56

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Solution

The fourth proportional to 411,873.12, 616,850.10 and 400,521.56 is: 599,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,873.12 : 616,850.10 = 400,521.56 : x
  2. Step 2: Convert to fraction form
    411,873.12/616,850.10 = 400,521.56/x
  3. Step 3: Cross multiply
    411,873.12x = 616,850.10 × 400,521.56
  4. Step 4: Simplify right side
    411,873.12x = 247,061,761,253.91
  5. Step 5: Solve for x
    x = 247,061,761,253.91/411,873.12
  6. Step 6: Final answer
    x = 599,849.20

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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.