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Finding the Fourth Proportional to 343,966.30, 515,713.92 and 175,159.86

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Solution

The fourth proportional to 343,966.30, 515,713.92 and 175,159.86 is: 262,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,966.30 : 515,713.92 = 175,159.86 : x
  2. Step 2: Convert to fraction form
    343,966.30/515,713.92 = 175,159.86/x
  3. Step 3: Cross multiply
    343,966.30x = 515,713.92 × 175,159.86
  4. Step 4: Simplify right side
    343,966.30x = 90,332,378,027.25
  5. Step 5: Solve for x
    x = 90,332,378,027.25/343,966.30
  6. Step 6: Final answer
    x = 262,619.85

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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.