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Finding the Fourth Proportional to 332,068.50, 458,254.53 and 197,932.50

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Solution

The fourth proportional to 332,068.50, 458,254.53 and 197,932.50 is: 273,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,068.50 : 458,254.53 = 197,932.50 : x
  2. Step 2: Convert to fraction form
    332,068.50/458,254.53 = 197,932.50/x
  3. Step 3: Cross multiply
    332,068.50x = 458,254.53 × 197,932.50
  4. Step 4: Simplify right side
    332,068.50x = 90,703,464,759.23
  5. Step 5: Solve for x
    x = 90,703,464,759.23/332,068.50
  6. Step 6: Final answer
    x = 273,146.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.