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Finding the Fourth Proportional to 577,112.48, 865,761.75 and 177,753.07

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Solution

The fourth proportional to 577,112.48, 865,761.75 and 177,753.07 is: 266,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,112.48 : 865,761.75 = 177,753.07 : x
  2. Step 2: Convert to fraction form
    577,112.48/865,761.75 = 177,753.07/x
  3. Step 3: Cross multiply
    577,112.48x = 865,761.75 × 177,753.07
  4. Step 4: Simplify right side
    577,112.48x = 153,891,808,951.07
  5. Step 5: Solve for x
    x = 153,891,808,951.07/577,112.48
  6. Step 6: Final answer
    x = 266,658.26

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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.