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Finding the Fourth Proportional to 465,129.16, 697,696.44 and 165,621.30

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Solution

The fourth proportional to 465,129.16, 697,696.44 and 165,621.30 is: 248,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,129.16 : 697,696.44 = 165,621.30 : x
  2. Step 2: Convert to fraction form
    465,129.16/697,696.44 = 165,621.30/x
  3. Step 3: Cross multiply
    465,129.16x = 697,696.44 × 165,621.30
  4. Step 4: Simplify right side
    465,129.16x = 115,553,391,398.17
  5. Step 5: Solve for x
    x = 115,553,391,398.17/465,129.16
  6. Step 6: Final answer
    x = 248,432.91

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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.