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Finding the Fourth Proportional to 475,877.92, 713,922.48 and 143,429.92

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Solution

The fourth proportional to 475,877.92, 713,922.48 and 143,429.92 is: 215,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,877.92 : 713,922.48 = 143,429.92 : x
  2. Step 2: Convert to fraction form
    475,877.92/713,922.48 = 143,429.92/x
  3. Step 3: Cross multiply
    475,877.92x = 713,922.48 × 143,429.92
  4. Step 4: Simplify right side
    475,877.92x = 102,397,844,192.60
  5. Step 5: Solve for x
    x = 102,397,844,192.60/475,877.92
  6. Step 6: Final answer
    x = 215,176.71

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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.