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Finding the Fourth Proportional to 333,909.52, 500,676.96 and 144,251.46

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Solution

The fourth proportional to 333,909.52, 500,676.96 and 144,251.46 is: 216,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,909.52 : 500,676.96 = 144,251.46 : x
  2. Step 2: Convert to fraction form
    333,909.52/500,676.96 = 144,251.46/x
  3. Step 3: Cross multiply
    333,909.52x = 500,676.96 × 144,251.46
  4. Step 4: Simplify right side
    333,909.52x = 72,223,382,468.36
  5. Step 5: Solve for x
    x = 72,223,382,468.36/333,909.52
  6. Step 6: Final answer
    x = 216,296.27

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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.