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Finding the Fourth Proportional to 329,101.71, 493,671.69 and 92,462.87

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Solution

The fourth proportional to 329,101.71, 493,671.69 and 92,462.87 is: 138,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,101.71 : 493,671.69 = 92,462.87 : x
  2. Step 2: Convert to fraction form
    329,101.71/493,671.69 = 92,462.87/x
  3. Step 3: Cross multiply
    329,101.71x = 493,671.69 × 92,462.87
  4. Step 4: Simplify right side
    329,101.71x = 45,646,298,826.79
  5. Step 5: Solve for x
    x = 45,646,298,826.79/329,101.71
  6. Step 6: Final answer
    x = 138,699.67

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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.