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Finding the Fourth Proportional to 493,446.16, 740,195.66 and 156,512.38

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Solution

The fourth proportional to 493,446.16, 740,195.66 and 156,512.38 is: 234,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,446.16 : 740,195.66 = 156,512.38 : x
  2. Step 2: Convert to fraction form
    493,446.16/740,195.66 = 156,512.38/x
  3. Step 3: Cross multiply
    493,446.16x = 740,195.66 × 156,512.38
  4. Step 4: Simplify right side
    493,446.16x = 115,849,784,412.27
  5. Step 5: Solve for x
    x = 115,849,784,412.27/493,446.16
  6. Step 6: Final answer
    x = 234,776.95

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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.