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Finding the Fourth Proportional to 490,833.54, 736,251.32 and 149,280.03

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Solution

The fourth proportional to 490,833.54, 736,251.32 and 149,280.03 is: 223,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,833.54 : 736,251.32 = 149,280.03 : x
  2. Step 2: Convert to fraction form
    490,833.54/736,251.32 = 149,280.03/x
  3. Step 3: Cross multiply
    490,833.54x = 736,251.32 × 149,280.03
  4. Step 4: Simplify right side
    490,833.54x = 109,907,619,510.34
  5. Step 5: Solve for x
    x = 109,907,619,510.34/490,833.54
  6. Step 6: Final answer
    x = 223,920.35

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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.