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Finding the Fourth Proportional to 349,004.88, 523,610.46 and 112,341.78

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Solution

The fourth proportional to 349,004.88, 523,610.46 and 112,341.78 is: 168,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,004.88 : 523,610.46 = 112,341.78 : x
  2. Step 2: Convert to fraction form
    349,004.88/523,610.46 = 112,341.78/x
  3. Step 3: Cross multiply
    349,004.88x = 523,610.46 × 112,341.78
  4. Step 4: Simplify right side
    349,004.88x = 58,823,331,103.02
  5. Step 5: Solve for x
    x = 58,823,331,103.02/349,004.88
  6. Step 6: Final answer
    x = 168,545.87

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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.