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Finding the Fourth Proportional to 359,115.10, 495,580.34 and 197,966.61

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Solution

The fourth proportional to 359,115.10, 495,580.34 and 197,966.61 is: 273,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,115.10 : 495,580.34 = 197,966.61 : x
  2. Step 2: Convert to fraction form
    359,115.10/495,580.34 = 197,966.61/x
  3. Step 3: Cross multiply
    359,115.10x = 495,580.34 × 197,966.61
  4. Step 4: Simplify right side
    359,115.10x = 98,108,359,397.53
  5. Step 5: Solve for x
    x = 98,108,359,397.53/359,115.10
  6. Step 6: Final answer
    x = 273,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.