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Finding the Fourth Proportional to 457,599.44, 685,990.80 and 232,834.16

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Solution

The fourth proportional to 457,599.44, 685,990.80 and 232,834.16 is: 349,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,599.44 : 685,990.80 = 232,834.16 : x
  2. Step 2: Convert to fraction form
    457,599.44/685,990.80 = 232,834.16/x
  3. Step 3: Cross multiply
    457,599.44x = 685,990.80 × 232,834.16
  4. Step 4: Simplify right side
    457,599.44x = 159,722,091,685.73
  5. Step 5: Solve for x
    x = 159,722,091,685.73/457,599.44
  6. Step 6: Final answer
    x = 349,043.46

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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.