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Finding the Fourth Proportional to 343,041.80, 514,562.70 and 106,408.40

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Solution

The fourth proportional to 343,041.80, 514,562.70 and 106,408.40 is: 159,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,041.80 : 514,562.70 = 106,408.40 : x
  2. Step 2: Convert to fraction form
    343,041.80/514,562.70 = 106,408.40/x
  3. Step 3: Cross multiply
    343,041.80x = 514,562.70 × 106,408.40
  4. Step 4: Simplify right side
    343,041.80x = 54,753,793,606.68
  5. Step 5: Solve for x
    x = 54,753,793,606.68/343,041.80
  6. Step 6: Final answer
    x = 159,612.60

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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.