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Finding the Fourth Proportional to 633,032.89, 949,547.92 and 489,147.95

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Solution

The fourth proportional to 633,032.89, 949,547.92 and 489,147.95 is: 733,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,032.89 : 949,547.92 = 489,147.95 : x
  2. Step 2: Convert to fraction form
    633,032.89/949,547.92 = 489,147.95/x
  3. Step 3: Cross multiply
    633,032.89x = 949,547.92 × 489,147.95
  4. Step 4: Simplify right side
    633,032.89x = 464,469,416,049.02
  5. Step 5: Solve for x
    x = 464,469,416,049.02/633,032.89
  6. Step 6: Final answer
    x = 733,720.83

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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.