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Finding the Fourth Proportional to 463,624.52, 695,536.26 and 143,769.56

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Solution

The fourth proportional to 463,624.52, 695,536.26 and 143,769.56 is: 215,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,624.52 : 695,536.26 = 143,769.56 : x
  2. Step 2: Convert to fraction form
    463,624.52/695,536.26 = 143,769.56/x
  3. Step 3: Cross multiply
    463,624.52x = 695,536.26 × 143,769.56
  4. Step 4: Simplify right side
    463,624.52x = 99,996,942,064.25
  5. Step 5: Solve for x
    x = 99,996,942,064.25/463,624.52
  6. Step 6: Final answer
    x = 215,685.19

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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.