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Finding the Fourth Proportional to 337,842.80, 506,764.20 and 310,286.60

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Solution

The fourth proportional to 337,842.80, 506,764.20 and 310,286.60 is: 465,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,842.80 : 506,764.20 = 310,286.60 : x
  2. Step 2: Convert to fraction form
    337,842.80/506,764.20 = 310,286.60/x
  3. Step 3: Cross multiply
    337,842.80x = 506,764.20 × 310,286.60
  4. Step 4: Simplify right side
    337,842.80x = 157,242,140,619.72
  5. Step 5: Solve for x
    x = 157,242,140,619.72/337,842.80
  6. Step 6: Final answer
    x = 465,429.90

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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.