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Finding the Fourth Proportional to 381,032.70, 571,543.38 and 92,847.66

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Solution

The fourth proportional to 381,032.70, 571,543.38 and 92,847.66 is: 139,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,032.70 : 571,543.38 = 92,847.66 : x
  2. Step 2: Convert to fraction form
    381,032.70/571,543.38 = 92,847.66/x
  3. Step 3: Cross multiply
    381,032.70x = 571,543.38 × 92,847.66
  4. Step 4: Simplify right side
    381,032.70x = 53,066,465,421.49
  5. Step 5: Solve for x
    x = 53,066,465,421.49/381,032.70
  6. Step 6: Final answer
    x = 139,270.11

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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.