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Finding the Fourth Proportional to 343,780.40, 515,719.20 and 107,098.40

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Solution

The fourth proportional to 343,780.40, 515,719.20 and 107,098.40 is: 160,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,780.40 : 515,719.20 = 107,098.40 : x
  2. Step 2: Convert to fraction form
    343,780.40/515,719.20 = 107,098.40/x
  3. Step 3: Cross multiply
    343,780.40x = 515,719.20 × 107,098.40
  4. Step 4: Simplify right side
    343,780.40x = 55,232,701,169.28
  5. Step 5: Solve for x
    x = 55,232,701,169.28/343,780.40
  6. Step 6: Final answer
    x = 160,662.74

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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.