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Finding the Fourth Proportional to 422,011.52, 633,017.28 and 141,527.96

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Solution

The fourth proportional to 422,011.52, 633,017.28 and 141,527.96 is: 212,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,011.52 : 633,017.28 = 141,527.96 : x
  2. Step 2: Convert to fraction form
    422,011.52/633,017.28 = 141,527.96/x
  3. Step 3: Cross multiply
    422,011.52x = 633,017.28 × 141,527.96
  4. Step 4: Simplify right side
    422,011.52x = 89,589,644,283.15
  5. Step 5: Solve for x
    x = 89,589,644,283.15/422,011.52
  6. Step 6: Final answer
    x = 212,291.94

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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.