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Finding the Fourth Proportional to 656,513.92, 905,989.38 and 354,707.92

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Solution

The fourth proportional to 656,513.92, 905,989.38 and 354,707.92 is: 489,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,513.92 : 905,989.38 = 354,707.92 : x
  2. Step 2: Convert to fraction form
    656,513.92/905,989.38 = 354,707.92/x
  3. Step 3: Cross multiply
    656,513.92x = 905,989.38 × 354,707.92
  4. Step 4: Simplify right side
    656,513.92x = 321,361,608,521.89
  5. Step 5: Solve for x
    x = 321,361,608,521.89/656,513.92
  6. Step 6: Final answer
    x = 489,497.02

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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.