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Finding the Fourth Proportional to 541,862.48, 747,771 and 324,212.24

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Solution

The fourth proportional to 541,862.48, 747,771 and 324,212.24 is: 447,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,862.48 : 747,771 = 324,212.24 : x
  2. Step 2: Convert to fraction form
    541,862.48/747,771 = 324,212.24/x
  3. Step 3: Cross multiply
    541,862.48x = 747,771 × 324,212.24
  4. Step 4: Simplify right side
    541,862.48x = 242,436,510,917.04
  5. Step 5: Solve for x
    x = 242,436,510,917.04/541,862.48
  6. Step 6: Final answer
    x = 447,413.36

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1.5x scale

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.