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Finding the Fourth Proportional to 475,387.30, 713,080.95 and 195,105.70

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Solution

The fourth proportional to 475,387.30, 713,080.95 and 195,105.70 is: 292,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,387.30 : 713,080.95 = 195,105.70 : x
  2. Step 2: Convert to fraction form
    475,387.30/713,080.95 = 195,105.70/x
  3. Step 3: Cross multiply
    475,387.30x = 713,080.95 × 195,105.70
  4. Step 4: Simplify right side
    475,387.30x = 139,126,157,906.42
  5. Step 5: Solve for x
    x = 139,126,157,906.42/475,387.30
  6. Step 6: Final answer
    x = 292,658.55

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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.