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Finding the Fourth Proportional to 458,963.74, 633,367.92 and 255,047.86

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Solution

The fourth proportional to 458,963.74, 633,367.92 and 255,047.86 is: 351,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,963.74 : 633,367.92 = 255,047.86 : x
  2. Step 2: Convert to fraction form
    458,963.74/633,367.92 = 255,047.86/x
  3. Step 3: Cross multiply
    458,963.74x = 633,367.92 × 255,047.86
  4. Step 4: Simplify right side
    458,963.74x = 161,539,132,588.65
  5. Step 5: Solve for x
    x = 161,539,132,588.65/458,963.74
  6. Step 6: Final answer
    x = 351,964.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.