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Finding the Fourth Proportional to 402,453.20, 603,679.80 and 360,462.80

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Solution

The fourth proportional to 402,453.20, 603,679.80 and 360,462.80 is: 540,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,453.20 : 603,679.80 = 360,462.80 : x
  2. Step 2: Convert to fraction form
    402,453.20/603,679.80 = 360,462.80/x
  3. Step 3: Cross multiply
    402,453.20x = 603,679.80 × 360,462.80
  4. Step 4: Simplify right side
    402,453.20x = 217,604,111,011.44
  5. Step 5: Solve for x
    x = 217,604,111,011.44/402,453.20
  6. Step 6: Final answer
    x = 540,694.20

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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.