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Finding the Fourth Proportional to 472,814.80, 709,222.20 and 367,061.20

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Solution

The fourth proportional to 472,814.80, 709,222.20 and 367,061.20 is: 550,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,814.80 : 709,222.20 = 367,061.20 : x
  2. Step 2: Convert to fraction form
    472,814.80/709,222.20 = 367,061.20/x
  3. Step 3: Cross multiply
    472,814.80x = 709,222.20 × 367,061.20
  4. Step 4: Simplify right side
    472,814.80x = 260,327,951,798.64
  5. Step 5: Solve for x
    x = 260,327,951,798.64/472,814.80
  6. Step 6: Final answer
    x = 550,591.80

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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.