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Finding the Fourth Proportional to 411,747.20, 616,699.20 and 338,019.20

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Solution

The fourth proportional to 411,747.20, 616,699.20 and 338,019.20 is: 506,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,747.20 : 616,699.20 = 338,019.20 : x
  2. Step 2: Convert to fraction form
    411,747.20/616,699.20 = 338,019.20/x
  3. Step 3: Cross multiply
    411,747.20x = 616,699.20 × 338,019.20
  4. Step 4: Simplify right side
    411,747.20x = 208,456,170,224.64
  5. Step 5: Solve for x
    x = 208,456,170,224.64/411,747.20
  6. Step 6: Final answer
    x = 506,272.22

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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.