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Finding the Fourth Proportional to 442,615.86, 663,883.70 and 176,304.87

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Solution

The fourth proportional to 442,615.86, 663,883.70 and 176,304.87 is: 264,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,615.86 : 663,883.70 = 176,304.87 : x
  2. Step 2: Convert to fraction form
    442,615.86/663,883.70 = 176,304.87/x
  3. Step 3: Cross multiply
    442,615.86x = 663,883.70 × 176,304.87
  4. Step 4: Simplify right side
    442,615.86x = 117,045,928,542.10
  5. Step 5: Solve for x
    x = 117,045,928,542.10/442,615.86
  6. Step 6: Final answer
    x = 264,441.33

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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.