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Finding the Fourth Proportional to 343,407.10, 515,110.65 and 231,432.70

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Solution

The fourth proportional to 343,407.10, 515,110.65 and 231,432.70 is: 347,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,407.10 : 515,110.65 = 231,432.70 : x
  2. Step 2: Convert to fraction form
    343,407.10/515,110.65 = 231,432.70/x
  3. Step 3: Cross multiply
    343,407.10x = 515,110.65 × 231,432.70
  4. Step 4: Simplify right side
    343,407.10x = 119,213,448,528.26
  5. Step 5: Solve for x
    x = 119,213,448,528.26/343,407.10
  6. Step 6: Final answer
    x = 347,149.05

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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.