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Finding the Fourth Proportional to 411,028.62, 616,475.67 and 144,726.54

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Solution

The fourth proportional to 411,028.62, 616,475.67 and 144,726.54 is: 217,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,028.62 : 616,475.67 = 144,726.54 : x
  2. Step 2: Convert to fraction form
    411,028.62/616,475.67 = 144,726.54/x
  3. Step 3: Cross multiply
    411,028.62x = 616,475.67 × 144,726.54
  4. Step 4: Simplify right side
    411,028.62x = 89,220,390,713.28
  5. Step 5: Solve for x
    x = 89,220,390,713.28/411,028.62
  6. Step 6: Final answer
    x = 217,066.13

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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.