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Finding the Fourth Proportional to 334,780.87, 462,026.10 and 189,612.48

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Solution

The fourth proportional to 334,780.87, 462,026.10 and 189,612.48 is: 261,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,780.87 : 462,026.10 = 189,612.48 : x
  2. Step 2: Convert to fraction form
    334,780.87/462,026.10 = 189,612.48/x
  3. Step 3: Cross multiply
    334,780.87x = 462,026.10 × 189,612.48
  4. Step 4: Simplify right side
    334,780.87x = 87,605,914,723.35
  5. Step 5: Solve for x
    x = 87,605,914,723.35/334,780.87
  6. Step 6: Final answer
    x = 261,681.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.