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Finding the Fourth Proportional to 296,712.75, 409,463.10 and 160,750.17

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Solution

The fourth proportional to 296,712.75, 409,463.10 and 160,750.17 is: 221,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,712.75 : 409,463.10 = 160,750.17 : x
  2. Step 2: Convert to fraction form
    296,712.75/409,463.10 = 160,750.17/x
  3. Step 3: Cross multiply
    296,712.75x = 409,463.10 × 160,750.17
  4. Step 4: Simplify right side
    296,712.75x = 65,821,262,933.73
  5. Step 5: Solve for x
    x = 65,821,262,933.73/296,712.75
  6. Step 6: Final answer
    x = 221,834.96

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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.