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Finding the Fourth Proportional to 410,714.11, 616,291.72 and 170,993.48

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Solution

The fourth proportional to 410,714.11, 616,291.72 and 170,993.48 is: 256,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,714.11 : 616,291.72 = 170,993.48 : x
  2. Step 2: Convert to fraction form
    410,714.11/616,291.72 = 170,993.48/x
  3. Step 3: Cross multiply
    410,714.11x = 616,291.72 × 170,993.48
  4. Step 4: Simplify right side
    410,714.11x = 105,381,867,011.23
  5. Step 5: Solve for x
    x = 105,381,867,011.23/410,714.11
  6. Step 6: Final answer
    x = 256,582.05

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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.