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Finding the Fourth Proportional to 408,053.15, 571,864.90 and 408,053.15

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Solution

The fourth proportional to 408,053.15, 571,864.90 and 408,053.15 is: 571,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.15 : 571,864.90 = 408,053.15 : x
  2. Step 2: Convert to fraction form
    408,053.15/571,864.90 = 408,053.15/x
  3. Step 3: Cross multiply
    408,053.15x = 571,864.90 × 408,053.15
  4. Step 4: Simplify right side
    408,053.15x = 233,351,273,819.44
  5. Step 5: Solve for x
    x = 233,351,273,819.44/408,053.15
  6. Step 6: Final answer
    x = 571,864.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.