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Finding the Fourth Proportional to 310,498.92, 465,358.70 and 132,797

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Solution

The fourth proportional to 310,498.92, 465,358.70 and 132,797 is: 199,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,498.92 : 465,358.70 = 132,797 : x
  2. Step 2: Convert to fraction form
    310,498.92/465,358.70 = 132,797/x
  3. Step 3: Cross multiply
    310,498.92x = 465,358.70 × 132,797
  4. Step 4: Simplify right side
    310,498.92x = 61,798,239,283.90
  5. Step 5: Solve for x
    x = 61,798,239,283.90/310,498.92
  6. Step 6: Final answer
    x = 199,028.84

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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.