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Finding the Fourth Proportional to 287,583.90, 431,338.05 and 87,924.30

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Solution

The fourth proportional to 287,583.90, 431,338.05 and 87,924.30 is: 131,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,583.90 : 431,338.05 = 87,924.30 : x
  2. Step 2: Convert to fraction form
    287,583.90/431,338.05 = 87,924.30/x
  3. Step 3: Cross multiply
    287,583.90x = 431,338.05 × 87,924.30
  4. Step 4: Simplify right side
    287,583.90x = 37,925,096,109.62
  5. Step 5: Solve for x
    x = 37,925,096,109.62/287,583.90
  6. Step 6: Final answer
    x = 131,874.89

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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.