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Finding the Fourth Proportional to 363,988.80, 545,983.20 and 301,780.80

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Solution

The fourth proportional to 363,988.80, 545,983.20 and 301,780.80 is: 452,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,988.80 : 545,983.20 = 301,780.80 : x
  2. Step 2: Convert to fraction form
    363,988.80/545,983.20 = 301,780.80/x
  3. Step 3: Cross multiply
    363,988.80x = 545,983.20 × 301,780.80
  4. Step 4: Simplify right side
    363,988.80x = 164,767,246,882.56
  5. Step 5: Solve for x
    x = 164,767,246,882.56/363,988.80
  6. Step 6: Final answer
    x = 452,671.20

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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.