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Finding the Fourth Proportional to 360,102.16, 496,951.23 and 198,967.78

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Solution

The fourth proportional to 360,102.16, 496,951.23 and 198,967.78 is: 274,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,102.16 : 496,951.23 = 198,967.78 : x
  2. Step 2: Convert to fraction form
    360,102.16/496,951.23 = 198,967.78/x
  3. Step 3: Cross multiply
    360,102.16x = 496,951.23 × 198,967.78
  4. Step 4: Simplify right side
    360,102.16x = 98,877,283,001.37
  5. Step 5: Solve for x
    x = 98,877,283,001.37/360,102.16
  6. Step 6: Final answer
    x = 274,581.20

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1.5x scale

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.