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Finding the Fourth Proportional to 492,498.24, 738,701.28 and 211,963.20

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Solution

The fourth proportional to 492,498.24, 738,701.28 and 211,963.20 is: 317,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,498.24 : 738,701.28 = 211,963.20 : x
  2. Step 2: Convert to fraction form
    492,498.24/738,701.28 = 211,963.20/x
  3. Step 3: Cross multiply
    492,498.24x = 738,701.28 × 211,963.20
  4. Step 4: Simplify right side
    492,498.24x = 156,577,487,152.90
  5. Step 5: Solve for x
    x = 156,577,487,152.90/492,498.24
  6. Step 6: Final answer
    x = 317,924.97

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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.