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Finding the Fourth Proportional to 604,417.38, 906,313.92 and 177,897.66

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Solution

The fourth proportional to 604,417.38, 906,313.92 and 177,897.66 is: 266,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,417.38 : 906,313.92 = 177,897.66 : x
  2. Step 2: Convert to fraction form
    604,417.38/906,313.92 = 177,897.66/x
  3. Step 3: Cross multiply
    604,417.38x = 906,313.92 × 177,897.66
  4. Step 4: Simplify right side
    604,417.38x = 161,231,125,593.43
  5. Step 5: Solve for x
    x = 161,231,125,593.43/604,417.38
  6. Step 6: Final answer
    x = 266,754.62

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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.