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Finding the Fourth Proportional to 332,002, 498,007.32 and 110,386

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Solution

The fourth proportional to 332,002, 498,007.32 and 110,386 is: 165,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,002 : 498,007.32 = 110,386 : x
  2. Step 2: Convert to fraction form
    332,002/498,007.32 = 110,386/x
  3. Step 3: Cross multiply
    332,002x = 498,007.32 × 110,386
  4. Step 4: Simplify right side
    332,002x = 54,973,036,025.52
  5. Step 5: Solve for x
    x = 54,973,036,025.52/332,002
  6. Step 6: Final answer
    x = 165,580.44

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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.