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Finding the Fourth Proportional to 343,147.20, 514,770.48 and 106,508.88

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Solution

The fourth proportional to 343,147.20, 514,770.48 and 106,508.88 is: 159,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,147.20 : 514,770.48 = 106,508.88 : x
  2. Step 2: Convert to fraction form
    343,147.20/514,770.48 = 106,508.88/x
  3. Step 3: Cross multiply
    343,147.20x = 514,770.48 × 106,508.88
  4. Step 4: Simplify right side
    343,147.20x = 54,827,627,281.86
  5. Step 5: Solve for x
    x = 54,827,627,281.86/343,147.20
  6. Step 6: Final answer
    x = 159,778.74

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1.5x scale

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.