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Finding the Fourth Proportional to 297,802.80, 446,704.20 and 278,119.80

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Solution

The fourth proportional to 297,802.80, 446,704.20 and 278,119.80 is: 417,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,802.80 : 446,704.20 = 278,119.80 : x
  2. Step 2: Convert to fraction form
    297,802.80/446,704.20 = 278,119.80/x
  3. Step 3: Cross multiply
    297,802.80x = 446,704.20 × 278,119.80
  4. Step 4: Simplify right side
    297,802.80x = 124,237,282,763.16
  5. Step 5: Solve for x
    x = 124,237,282,763.16/297,802.80
  6. Step 6: Final answer
    x = 417,179.70

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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.