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Finding the Fourth Proportional to 457,591.88, 685,979.58 and 232,826.60

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Solution

The fourth proportional to 457,591.88, 685,979.58 and 232,826.60 is: 349,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,591.88 : 685,979.58 = 232,826.60 : x
  2. Step 2: Convert to fraction form
    457,591.88/685,979.58 = 232,826.60/x
  3. Step 3: Cross multiply
    457,591.88x = 685,979.58 × 232,826.60
  4. Step 4: Simplify right side
    457,591.88x = 159,714,293,280.83
  5. Step 5: Solve for x
    x = 159,714,293,280.83/457,591.88
  6. Step 6: Final answer
    x = 349,032.18

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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.