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Finding the Fourth Proportional to 329,098.17, 493,666.38 and 92,459.28

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Solution

The fourth proportional to 329,098.17, 493,666.38 and 92,459.28 is: 138,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,098.17 : 493,666.38 = 92,459.28 : x
  2. Step 2: Convert to fraction form
    329,098.17/493,666.38 = 92,459.28/x
  3. Step 3: Cross multiply
    329,098.17x = 493,666.38 × 92,459.28
  4. Step 4: Simplify right side
    329,098.17x = 45,644,038,055.01
  5. Step 5: Solve for x
    x = 45,644,038,055.01/329,098.17
  6. Step 6: Final answer
    x = 138,694.29

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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.