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Finding the Fourth Proportional to 523,324.40, 785,098.20 and 298,792.40

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Solution

The fourth proportional to 523,324.40, 785,098.20 and 298,792.40 is: 448,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,324.40 : 785,098.20 = 298,792.40 : x
  2. Step 2: Convert to fraction form
    523,324.40/785,098.20 = 298,792.40/x
  3. Step 3: Cross multiply
    523,324.40x = 785,098.20 × 298,792.40
  4. Step 4: Simplify right side
    523,324.40x = 234,581,375,413.68
  5. Step 5: Solve for x
    x = 234,581,375,413.68/523,324.40
  6. Step 6: Final answer
    x = 448,252.32

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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.