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Finding the Fourth Proportional to 360,098.06, 496,892.96 and 198,943.50

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Solution

The fourth proportional to 360,098.06, 496,892.96 and 198,943.50 is: 274,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,098.06 : 496,892.96 = 198,943.50 : x
  2. Step 2: Convert to fraction form
    360,098.06/496,892.96 = 198,943.50/x
  3. Step 3: Cross multiply
    360,098.06x = 496,892.96 × 198,943.50
  4. Step 4: Simplify right side
    360,098.06x = 98,853,624,587.76
  5. Step 5: Solve for x
    x = 98,853,624,587.76/360,098.06
  6. Step 6: Final answer
    x = 274,518.63

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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.