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Finding the Fourth Proportional to 287,761.72, 431,642.76 and 77,420.92

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Solution

The fourth proportional to 287,761.72, 431,642.76 and 77,420.92 is: 116,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,761.72 : 431,642.76 = 77,420.92 : x
  2. Step 2: Convert to fraction form
    287,761.72/431,642.76 = 77,420.92/x
  3. Step 3: Cross multiply
    287,761.72x = 431,642.76 × 77,420.92
  4. Step 4: Simplify right side
    287,761.72x = 33,418,179,590.54
  5. Step 5: Solve for x
    x = 33,418,179,590.54/287,761.72
  6. Step 6: Final answer
    x = 116,131.43

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1.5x scale

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.