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Finding the Fourth Proportional to 464,243.97, 696,319.32 and 127,318.52

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Solution

The fourth proportional to 464,243.97, 696,319.32 and 127,318.52 is: 190,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,243.97 : 696,319.32 = 127,318.52 : x
  2. Step 2: Convert to fraction form
    464,243.97/696,319.32 = 127,318.52/x
  3. Step 3: Cross multiply
    464,243.97x = 696,319.32 × 127,318.52
  4. Step 4: Simplify right side
    464,243.97x = 88,654,341,788.21
  5. Step 5: Solve for x
    x = 88,654,341,788.21/464,243.97
  6. Step 6: Final answer
    x = 190,964.98

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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.