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Finding the Fourth Proportional to 413,964.38, 621,187.50 and 174,060.90

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Solution

The fourth proportional to 413,964.38, 621,187.50 and 174,060.90 is: 261,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,964.38 : 621,187.50 = 174,060.90 : x
  2. Step 2: Convert to fraction form
    413,964.38/621,187.50 = 174,060.90/x
  3. Step 3: Cross multiply
    413,964.38x = 621,187.50 × 174,060.90
  4. Step 4: Simplify right side
    413,964.38x = 108,124,455,318.75
  5. Step 5: Solve for x
    x = 108,124,455,318.75/413,964.38
  6. Step 6: Final answer
    x = 261,192.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.