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Finding the Fourth Proportional to 360,119.52, 496,968.75 and 198,970.56

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Solution

The fourth proportional to 360,119.52, 496,968.75 and 198,970.56 is: 274,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,119.52 : 496,968.75 = 198,970.56 : x
  2. Step 2: Convert to fraction form
    360,119.52/496,968.75 = 198,970.56/x
  3. Step 3: Cross multiply
    360,119.52x = 496,968.75 × 198,970.56
  4. Step 4: Simplify right side
    360,119.52x = 98,882,150,490
  5. Step 5: Solve for x
    x = 98,882,150,490/360,119.52
  6. Step 6: Final answer
    x = 274,581.48

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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.