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Finding the Fourth Proportional to 409,337.10, 614,005.65 and 406,712.70

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Solution

The fourth proportional to 409,337.10, 614,005.65 and 406,712.70 is: 610,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,337.10 : 614,005.65 = 406,712.70 : x
  2. Step 2: Convert to fraction form
    409,337.10/614,005.65 = 406,712.70/x
  3. Step 3: Cross multiply
    409,337.10x = 614,005.65 × 406,712.70
  4. Step 4: Simplify right side
    409,337.10x = 249,723,895,726.76
  5. Step 5: Solve for x
    x = 249,723,895,726.76/409,337.10
  6. Step 6: Final answer
    x = 610,069.05

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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.