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Finding the Fourth Proportional to 487,876.87, 731,885.03 and 150,946.30

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Solution

The fourth proportional to 487,876.87, 731,885.03 and 150,946.30 is: 226,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,876.87 : 731,885.03 = 150,946.30 : x
  2. Step 2: Convert to fraction form
    487,876.87/731,885.03 = 150,946.30/x
  3. Step 3: Cross multiply
    487,876.87x = 731,885.03 × 150,946.30
  4. Step 4: Simplify right side
    487,876.87x = 110,475,337,303.89
  5. Step 5: Solve for x
    x = 110,475,337,303.89/487,876.87
  6. Step 6: Final answer
    x = 226,441.02

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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.