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Finding the Fourth Proportional to 417,127.83, 625,872.08 and 177,294.42

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Solution

The fourth proportional to 417,127.83, 625,872.08 and 177,294.42 is: 266,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,127.83 : 625,872.08 = 177,294.42 : x
  2. Step 2: Convert to fraction form
    417,127.83/625,872.08 = 177,294.42/x
  3. Step 3: Cross multiply
    417,127.83x = 625,872.08 × 177,294.42
  4. Step 4: Simplify right side
    417,127.83x = 110,963,627,861.03
  5. Step 5: Solve for x
    x = 110,963,627,861.03/417,127.83
  6. Step 6: Final answer
    x = 266,018.28

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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.