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Finding the Fourth Proportional to 577,182, 865,731.72 and 177,781.08

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Solution

The fourth proportional to 577,182, 865,731.72 and 177,781.08 is: 266,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,182 : 865,731.72 = 177,781.08 : x
  2. Step 2: Convert to fraction form
    577,182/865,731.72 = 177,781.08/x
  3. Step 3: Cross multiply
    577,182x = 865,731.72 × 177,781.08
  4. Step 4: Simplify right side
    577,182x = 153,910,720,171.86
  5. Step 5: Solve for x
    x = 153,910,720,171.86/577,182
  6. Step 6: Final answer
    x = 266,658.91

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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.