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Finding the Fourth Proportional to 541,865.13, 813,064.77 and 253,696.25

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Solution

The fourth proportional to 541,865.13, 813,064.77 and 253,696.25 is: 380,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,865.13 : 813,064.77 = 253,696.25 : x
  2. Step 2: Convert to fraction form
    541,865.13/813,064.77 = 253,696.25/x
  3. Step 3: Cross multiply
    541,865.13x = 813,064.77 × 253,696.25
  4. Step 4: Simplify right side
    541,865.13x = 206,271,484,237.41
  5. Step 5: Solve for x
    x = 206,271,484,237.41/541,865.13
  6. Step 6: Final answer
    x = 380,669.42

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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.