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Finding the Fourth Proportional to 296,947.76, 409,790.95 and 160,981.97

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Solution

The fourth proportional to 296,947.76, 409,790.95 and 160,981.97 is: 222,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,947.76 : 409,790.95 = 160,981.97 : x
  2. Step 2: Convert to fraction form
    296,947.76/409,790.95 = 160,981.97/x
  3. Step 3: Cross multiply
    296,947.76x = 409,790.95 × 160,981.97
  4. Step 4: Simplify right side
    296,947.76x = 65,968,951,967.76
  5. Step 5: Solve for x
    x = 65,968,951,967.76/296,947.76
  6. Step 6: Final answer
    x = 222,156.76

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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.