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Finding the Fourth Proportional to 541,894.43, 813,346.05 and 275,854.07

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Solution

The fourth proportional to 541,894.43, 813,346.05 and 275,854.07 is: 414,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,894.43 : 813,346.05 = 275,854.07 : x
  2. Step 2: Convert to fraction form
    541,894.43/813,346.05 = 275,854.07/x
  3. Step 3: Cross multiply
    541,894.43x = 813,346.05 × 275,854.07
  4. Step 4: Simplify right side
    541,894.43x = 224,364,818,210.92
  5. Step 5: Solve for x
    x = 224,364,818,210.92/541,894.43
  6. Step 6: Final answer
    x = 414,037.87

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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.