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Finding the Fourth Proportional to 465,127.80, 697,691.70 and 165,946.20

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Solution

The fourth proportional to 465,127.80, 697,691.70 and 165,946.20 is: 248,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,127.80 : 697,691.70 = 165,946.20 : x
  2. Step 2: Convert to fraction form
    465,127.80/697,691.70 = 165,946.20/x
  3. Step 3: Cross multiply
    465,127.80x = 697,691.70 × 165,946.20
  4. Step 4: Simplify right side
    465,127.80x = 115,779,286,386.54
  5. Step 5: Solve for x
    x = 115,779,286,386.54/465,127.80
  6. Step 6: Final answer
    x = 248,919.30

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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.