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Finding the Fourth Proportional to 492,092.30, 738,484.05 and 315,029.90

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Solution

The fourth proportional to 492,092.30, 738,484.05 and 315,029.90 is: 472,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,092.30 : 738,484.05 = 315,029.90 : x
  2. Step 2: Convert to fraction form
    492,092.30/738,484.05 = 315,029.90/x
  3. Step 3: Cross multiply
    492,092.30x = 738,484.05 × 315,029.90
  4. Step 4: Simplify right side
    492,092.30x = 232,644,556,423.10
  5. Step 5: Solve for x
    x = 232,644,556,423.10/492,092.30
  6. Step 6: Final answer
    x = 472,766.10

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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.