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Finding the Fourth Proportional to 287,117.90, 430,644.05 and 76,772.24

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Solution

The fourth proportional to 287,117.90, 430,644.05 and 76,772.24 is: 115,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,117.90 : 430,644.05 = 76,772.24 : x
  2. Step 2: Convert to fraction form
    287,117.90/430,644.05 = 76,772.24/x
  3. Step 3: Cross multiply
    287,117.90x = 430,644.05 × 76,772.24
  4. Step 4: Simplify right side
    287,117.90x = 33,061,509,245.85
  5. Step 5: Solve for x
    x = 33,061,509,245.85/287,117.90
  6. Step 6: Final answer
    x = 115,149.59

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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.