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Finding the Fourth Proportional to 490,022.87, 735,007.87 and 153,024.85

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Solution

The fourth proportional to 490,022.87, 735,007.87 and 153,024.85 is: 229,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,022.87 : 735,007.87 = 153,024.85 : x
  2. Step 2: Convert to fraction form
    490,022.87/735,007.87 = 153,024.85/x
  3. Step 3: Cross multiply
    490,022.87x = 735,007.87 × 153,024.85
  4. Step 4: Simplify right side
    490,022.87x = 112,474,466,031.19
  5. Step 5: Solve for x
    x = 112,474,466,031.19/490,022.87
  6. Step 6: Final answer
    x = 229,529.02

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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.