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Finding the Fourth Proportional to 508,605.80, 763,346.10 and 224,733.20

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Solution

The fourth proportional to 508,605.80, 763,346.10 and 224,733.20 is: 337,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,605.80 : 763,346.10 = 224,733.20 : x
  2. Step 2: Convert to fraction form
    508,605.80/763,346.10 = 224,733.20/x
  3. Step 3: Cross multiply
    508,605.80x = 763,346.10 × 224,733.20
  4. Step 4: Simplify right side
    508,605.80x = 171,549,211,760.52
  5. Step 5: Solve for x
    x = 171,549,211,760.52/508,605.80
  6. Step 6: Final answer
    x = 337,293.07

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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.