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Finding the Fourth Proportional to 409,633.52, 614,553.96 and 114,145.52

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Solution

The fourth proportional to 409,633.52, 614,553.96 and 114,145.52 is: 171,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,633.52 : 614,553.96 = 114,145.52 : x
  2. Step 2: Convert to fraction form
    409,633.52/614,553.96 = 114,145.52/x
  3. Step 3: Cross multiply
    409,633.52x = 614,553.96 × 114,145.52
  4. Step 4: Simplify right side
    409,633.52x = 70,148,581,332.26
  5. Step 5: Solve for x
    x = 70,148,581,332.26/409,633.52
  6. Step 6: Final answer
    x = 171,247.17

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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.