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Finding the Fourth Proportional to 329,301.96, 493,895.70 and 92,588.46

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Solution

The fourth proportional to 329,301.96, 493,895.70 and 92,588.46 is: 138,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,301.96 : 493,895.70 = 92,588.46 : x
  2. Step 2: Convert to fraction form
    329,301.96/493,895.70 = 92,588.46/x
  3. Step 3: Cross multiply
    329,301.96x = 493,895.70 × 92,588.46
  4. Step 4: Simplify right side
    329,301.96x = 45,729,042,263.62
  5. Step 5: Solve for x
    x = 45,729,042,263.62/329,301.96
  6. Step 6: Final answer
    x = 138,866.60

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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.