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Finding the Fourth Proportional to 343,228.40, 514,891.20 and 106,546.40

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Solution

The fourth proportional to 343,228.40, 514,891.20 and 106,546.40 is: 159,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,228.40 : 514,891.20 = 106,546.40 : x
  2. Step 2: Convert to fraction form
    343,228.40/514,891.20 = 106,546.40/x
  3. Step 3: Cross multiply
    343,228.40x = 514,891.20 × 106,546.40
  4. Step 4: Simplify right side
    343,228.40x = 54,859,803,751.68
  5. Step 5: Solve for x
    x = 54,859,803,751.68/343,228.40
  6. Step 6: Final answer
    x = 159,834.69

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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.