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Finding the Fourth Proportional to 410,701.40, 616,052.10 and 268,983.80

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Solution

The fourth proportional to 410,701.40, 616,052.10 and 268,983.80 is: 403,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,701.40 : 616,052.10 = 268,983.80 : x
  2. Step 2: Convert to fraction form
    410,701.40/616,052.10 = 268,983.80/x
  3. Step 3: Cross multiply
    410,701.40x = 616,052.10 × 268,983.80
  4. Step 4: Simplify right side
    410,701.40x = 165,708,034,855.98
  5. Step 5: Solve for x
    x = 165,708,034,855.98/410,701.40
  6. Step 6: Final answer
    x = 403,475.70

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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.