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Finding the Fourth Proportional to 576,972.32, 865,540.38 and 177,646.28

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Solution

The fourth proportional to 576,972.32, 865,540.38 and 177,646.28 is: 266,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,972.32 : 865,540.38 = 177,646.28 : x
  2. Step 2: Convert to fraction form
    576,972.32/865,540.38 = 177,646.28/x
  3. Step 3: Cross multiply
    576,972.32x = 865,540.38 × 177,646.28
  4. Step 4: Simplify right side
    576,972.32x = 153,760,028,696.79
  5. Step 5: Solve for x
    x = 153,760,028,696.79/576,972.32
  6. Step 6: Final answer
    x = 266,494.64

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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.