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Finding the Fourth Proportional to 316,084.18, 472,959.87 and 189,801.34

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Solution

The fourth proportional to 316,084.18, 472,959.87 and 189,801.34 is: 284,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,084.18 : 472,959.87 = 189,801.34 : x
  2. Step 2: Convert to fraction form
    316,084.18/472,959.87 = 189,801.34/x
  3. Step 3: Cross multiply
    316,084.18x = 472,959.87 × 189,801.34
  4. Step 4: Simplify right side
    316,084.18x = 89,768,416,149.01
  5. Step 5: Solve for x
    x = 89,768,416,149.01/316,084.18
  6. Step 6: Final answer
    x = 284,001.61

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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.