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Finding the Fourth Proportional to 475,419.91, 713,124.46 and 115,592.80

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Solution

The fourth proportional to 475,419.91, 713,124.46 and 115,592.80 is: 173,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,419.91 : 713,124.46 = 115,592.80 : x
  2. Step 2: Convert to fraction form
    475,419.91/713,124.46 = 115,592.80/x
  3. Step 3: Cross multiply
    475,419.91x = 713,124.46 × 115,592.80
  4. Step 4: Simplify right side
    475,419.91x = 82,432,053,079.89
  5. Step 5: Solve for x
    x = 82,432,053,079.89/475,419.91
  6. Step 6: Final answer
    x = 173,387.89

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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.