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Finding the Fourth Proportional to 384,031.24, 576,050.28 and 117,793

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Solution

The fourth proportional to 384,031.24, 576,050.28 and 117,793 is: 176,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,031.24 : 576,050.28 = 117,793 : x
  2. Step 2: Convert to fraction form
    384,031.24/576,050.28 = 117,793/x
  3. Step 3: Cross multiply
    384,031.24x = 576,050.28 × 117,793
  4. Step 4: Simplify right side
    384,031.24x = 67,854,690,632.04
  5. Step 5: Solve for x
    x = 67,854,690,632.04/384,031.24
  6. Step 6: Final answer
    x = 176,690.55

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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.