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Finding the Fourth Proportional to 337,914.40, 506,871.60 and 213,805.60

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Solution

The fourth proportional to 337,914.40, 506,871.60 and 213,805.60 is: 320,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,914.40 : 506,871.60 = 213,805.60 : x
  2. Step 2: Convert to fraction form
    337,914.40/506,871.60 = 213,805.60/x
  3. Step 3: Cross multiply
    337,914.40x = 506,871.60 × 213,805.60
  4. Step 4: Simplify right side
    337,914.40x = 108,371,986,560.96
  5. Step 5: Solve for x
    x = 108,371,986,560.96/337,914.40
  6. Step 6: Final answer
    x = 320,708.40

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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.