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Finding the Fourth Proportional to 492,542.90, 738,856.28 and 155,493.40

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Solution

The fourth proportional to 492,542.90, 738,856.28 and 155,493.40 is: 233,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,542.90 : 738,856.28 = 155,493.40 : x
  2. Step 2: Convert to fraction form
    492,542.90/738,856.28 = 155,493.40/x
  3. Step 3: Cross multiply
    492,542.90x = 738,856.28 × 155,493.40
  4. Step 4: Simplify right side
    492,542.90x = 114,887,275,088.55
  5. Step 5: Solve for x
    x = 114,887,275,088.55/492,542.90
  6. Step 6: Final answer
    x = 233,253.34

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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.