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Finding the Fourth Proportional to 457,594.16, 685,632.52 and 323,811.28

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Solution

The fourth proportional to 457,594.16, 685,632.52 and 323,811.28 is: 485,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,594.16 : 685,632.52 = 323,811.28 : x
  2. Step 2: Convert to fraction form
    457,594.16/685,632.52 = 323,811.28/x
  3. Step 3: Cross multiply
    457,594.16x = 685,632.52 × 323,811.28
  4. Step 4: Simplify right side
    457,594.16x = 222,015,543,910.83
  5. Step 5: Solve for x
    x = 222,015,543,910.83/457,594.16
  6. Step 6: Final answer
    x = 485,180.02

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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.