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Finding the Fourth Proportional to 457,077.84, 685,876 and 246,711.12

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Solution

The fourth proportional to 457,077.84, 685,876 and 246,711.12 is: 370,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,077.84 : 685,876 = 246,711.12 : x
  2. Step 2: Convert to fraction form
    457,077.84/685,876 = 246,711.12/x
  3. Step 3: Cross multiply
    457,077.84x = 685,876 × 246,711.12
  4. Step 4: Simplify right side
    457,077.84x = 169,213,236,141.12
  5. Step 5: Solve for x
    x = 169,213,236,141.12/457,077.84
  6. Step 6: Final answer
    x = 370,206.61

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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.