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Finding the Fourth Proportional to 337,638.20, 506,457.30 and 137,958.40

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Solution

The fourth proportional to 337,638.20, 506,457.30 and 137,958.40 is: 206,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,638.20 : 506,457.30 = 137,958.40 : x
  2. Step 2: Convert to fraction form
    337,638.20/506,457.30 = 137,958.40/x
  3. Step 3: Cross multiply
    337,638.20x = 506,457.30 × 137,958.40
  4. Step 4: Simplify right side
    337,638.20x = 69,870,038,776.32
  5. Step 5: Solve for x
    x = 69,870,038,776.32/337,638.20
  6. Step 6: Final answer
    x = 206,937.60

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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.