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Finding the Fourth Proportional to 291,497.27, 436,877.52 and 156,225.17

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Solution

The fourth proportional to 291,497.27, 436,877.52 and 156,225.17 is: 234,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,497.27 : 436,877.52 = 156,225.17 : x
  2. Step 2: Convert to fraction form
    291,497.27/436,877.52 = 156,225.17/x
  3. Step 3: Cross multiply
    291,497.27x = 436,877.52 × 156,225.17
  4. Step 4: Simplify right side
    291,497.27x = 68,251,265,337.53
  5. Step 5: Solve for x
    x = 68,251,265,337.53/291,497.27
  6. Step 6: Final answer
    x = 234,140.33

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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.