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Finding the Fourth Proportional to 468,438.72, 702,686.88 and 187,919.52

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Solution

The fourth proportional to 468,438.72, 702,686.88 and 187,919.52 is: 281,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,438.72 : 702,686.88 = 187,919.52 : x
  2. Step 2: Convert to fraction form
    468,438.72/702,686.88 = 187,919.52/x
  3. Step 3: Cross multiply
    468,438.72x = 702,686.88 × 187,919.52
  4. Step 4: Simplify right side
    468,438.72x = 132,048,581,199.90
  5. Step 5: Solve for x
    x = 132,048,581,199.90/468,438.72
  6. Step 6: Final answer
    x = 281,890.83

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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.