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Finding the Fourth Proportional to 287,761.35, 431,641.35 and 77,399.49

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Solution

The fourth proportional to 287,761.35, 431,641.35 and 77,399.49 is: 116,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,761.35 : 431,641.35 = 77,399.49 : x
  2. Step 2: Convert to fraction form
    287,761.35/431,641.35 = 77,399.49/x
  3. Step 3: Cross multiply
    287,761.35x = 431,641.35 × 77,399.49
  4. Step 4: Simplify right side
    287,761.35x = 33,408,820,352.91
  5. Step 5: Solve for x
    x = 33,408,820,352.91/287,761.35
  6. Step 6: Final answer
    x = 116,099.05

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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.