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Finding the Fourth Proportional to 329,098.21, 493,666.46 and 92,459.35

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Solution

The fourth proportional to 329,098.21, 493,666.46 and 92,459.35 is: 138,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,098.21 : 493,666.46 = 92,459.35 : x
  2. Step 2: Convert to fraction form
    329,098.21/493,666.46 = 92,459.35/x
  3. Step 3: Cross multiply
    329,098.21x = 493,666.46 × 92,459.35
  4. Step 4: Simplify right side
    329,098.21x = 45,644,080,008.40
  5. Step 5: Solve for x
    x = 45,644,080,008.40/329,098.21
  6. Step 6: Final answer
    x = 138,694.40

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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.