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Finding the Fourth Proportional to 337,114.80, 506,255.40 and 326,617.20

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Solution

The fourth proportional to 337,114.80, 506,255.40 and 326,617.20 is: 490,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,114.80 : 506,255.40 = 326,617.20 : x
  2. Step 2: Convert to fraction form
    337,114.80/506,255.40 = 326,617.20/x
  3. Step 3: Cross multiply
    337,114.80x = 506,255.40 × 326,617.20
  4. Step 4: Simplify right side
    337,114.80x = 165,351,721,232.88
  5. Step 5: Solve for x
    x = 165,351,721,232.88/337,114.80
  6. Step 6: Final answer
    x = 490,490.84

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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.