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Finding the Fourth Proportional to 410,595.26, 616,113.47 and 170,874.43

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Solution

The fourth proportional to 410,595.26, 616,113.47 and 170,874.43 is: 256,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,595.26 : 616,113.47 = 170,874.43 : x
  2. Step 2: Convert to fraction form
    410,595.26/616,113.47 = 170,874.43/x
  3. Step 3: Cross multiply
    410,595.26x = 616,113.47 × 170,874.43
  4. Step 4: Simplify right side
    410,595.26x = 105,278,038,001.57
  5. Step 5: Solve for x
    x = 105,278,038,001.57/410,595.26
  6. Step 6: Final answer
    x = 256,403.44

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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.