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Finding the Fourth Proportional to 439,780.80, 659,671.20 and 413,536.80

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Solution

The fourth proportional to 439,780.80, 659,671.20 and 413,536.80 is: 620,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,780.80 : 659,671.20 = 413,536.80 : x
  2. Step 2: Convert to fraction form
    439,780.80/659,671.20 = 413,536.80/x
  3. Step 3: Cross multiply
    439,780.80x = 659,671.20 × 413,536.80
  4. Step 4: Simplify right side
    439,780.80x = 272,798,317,100.16
  5. Step 5: Solve for x
    x = 272,798,317,100.16/439,780.80
  6. Step 6: Final answer
    x = 620,305.20

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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.