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Finding the Fourth Proportional to 363,364.80, 544,063.05 and 284,632.80

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Solution

The fourth proportional to 363,364.80, 544,063.05 and 284,632.80 is: 426,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,364.80 : 544,063.05 = 284,632.80 : x
  2. Step 2: Convert to fraction form
    363,364.80/544,063.05 = 284,632.80/x
  3. Step 3: Cross multiply
    363,364.80x = 544,063.05 × 284,632.80
  4. Step 4: Simplify right side
    363,364.80x = 154,858,189,298.04
  5. Step 5: Solve for x
    x = 154,858,189,298.04/363,364.80
  6. Step 6: Final answer
    x = 426,178.29

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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.