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Finding the Fourth Proportional to 464,720.34, 697,080.42 and 132,296.34

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Solution

The fourth proportional to 464,720.34, 697,080.42 and 132,296.34 is: 198,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,720.34 : 697,080.42 = 132,296.34 : x
  2. Step 2: Convert to fraction form
    464,720.34/697,080.42 = 132,296.34/x
  3. Step 3: Cross multiply
    464,720.34x = 697,080.42 × 132,296.34
  4. Step 4: Simplify right side
    464,720.34x = 92,221,188,251.66
  5. Step 5: Solve for x
    x = 92,221,188,251.66/464,720.34
  6. Step 6: Final answer
    x = 198,444.48

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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.