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Finding the Fourth Proportional to 410,837.70, 616,256.55 and 115,311.30

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Solution

The fourth proportional to 410,837.70, 616,256.55 and 115,311.30 is: 172,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,837.70 : 616,256.55 = 115,311.30 : x
  2. Step 2: Convert to fraction form
    410,837.70/616,256.55 = 115,311.30/x
  3. Step 3: Cross multiply
    410,837.70x = 616,256.55 × 115,311.30
  4. Step 4: Simplify right side
    410,837.70x = 71,061,343,914.02
  5. Step 5: Solve for x
    x = 71,061,343,914.02/410,837.70
  6. Step 6: Final answer
    x = 172,966.95

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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.