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Finding the Fourth Proportional to 411,605.20, 618,041.40 and 224,981.20

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Solution

The fourth proportional to 411,605.20, 618,041.40 and 224,981.20 is: 337,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,605.20 : 618,041.40 = 224,981.20 : x
  2. Step 2: Convert to fraction form
    411,605.20/618,041.40 = 224,981.20/x
  3. Step 3: Cross multiply
    411,605.20x = 618,041.40 × 224,981.20
  4. Step 4: Simplify right side
    411,605.20x = 139,047,695,821.68
  5. Step 5: Solve for x
    x = 139,047,695,821.68/411,605.20
  6. Step 6: Final answer
    x = 337,818.12

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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.