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Finding the Fourth Proportional to 295,814.80, 443,722.20 and 278,318.80

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Solution

The fourth proportional to 295,814.80, 443,722.20 and 278,318.80 is: 417,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,814.80 : 443,722.20 = 278,318.80 : x
  2. Step 2: Convert to fraction form
    295,814.80/443,722.20 = 278,318.80/x
  3. Step 3: Cross multiply
    295,814.80x = 443,722.20 × 278,318.80
  4. Step 4: Simplify right side
    295,814.80x = 123,496,230,237.36
  5. Step 5: Solve for x
    x = 123,496,230,237.36/295,814.80
  6. Step 6: Final answer
    x = 417,478.20

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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.