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Finding the Fourth Proportional to 332,409.90, 498,274.65 and 163,670.70

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Solution

The fourth proportional to 332,409.90, 498,274.65 and 163,670.70 is: 245,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,409.90 : 498,274.65 = 163,670.70 : x
  2. Step 2: Convert to fraction form
    332,409.90/498,274.65 = 163,670.70/x
  3. Step 3: Cross multiply
    332,409.90x = 498,274.65 × 163,670.70
  4. Step 4: Simplify right side
    332,409.90x = 81,552,960,757.76
  5. Step 5: Solve for x
    x = 81,552,960,757.76/332,409.90
  6. Step 6: Final answer
    x = 245,338.54

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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.