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Finding the Fourth Proportional to 576,761.31, 865,223.91 and 177,435.36

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Solution

The fourth proportional to 576,761.31, 865,223.91 and 177,435.36 is: 266,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,761.31 : 865,223.91 = 177,435.36 : x
  2. Step 2: Convert to fraction form
    576,761.31/865,223.91 = 177,435.36/x
  3. Step 3: Cross multiply
    576,761.31x = 865,223.91 × 177,435.36
  4. Step 4: Simplify right side
    576,761.31x = 153,521,315,951.46
  5. Step 5: Solve for x
    x = 153,521,315,951.46/576,761.31
  6. Step 6: Final answer
    x = 266,178.25

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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.