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Finding the Fourth Proportional to 364,552.49, 547,107.84 and 165,013.01

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Solution

The fourth proportional to 364,552.49, 547,107.84 and 165,013.01 is: 247,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,552.49 : 547,107.84 = 165,013.01 : x
  2. Step 2: Convert to fraction form
    364,552.49/547,107.84 = 165,013.01/x
  3. Step 3: Cross multiply
    364,552.49x = 547,107.84 × 165,013.01
  4. Step 4: Simplify right side
    364,552.49x = 90,279,911,473.00
  5. Step 5: Solve for x
    x = 90,279,911,473.00/364,552.49
  6. Step 6: Final answer
    x = 247,645.85

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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.