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Finding the Fourth Proportional to 349,428.56, 524,139.96 and 100,110.80

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Solution

The fourth proportional to 349,428.56, 524,139.96 and 100,110.80 is: 150,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,428.56 : 524,139.96 = 100,110.80 : x
  2. Step 2: Convert to fraction form
    349,428.56/524,139.96 = 100,110.80/x
  3. Step 3: Cross multiply
    349,428.56x = 524,139.96 × 100,110.80
  4. Step 4: Simplify right side
    349,428.56x = 52,472,070,707.57
  5. Step 5: Solve for x
    x = 52,472,070,707.57/349,428.56
  6. Step 6: Final answer
    x = 150,165.37

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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.