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Finding the Fourth Proportional to 296,644.17, 409,369.65 and 160,677.57

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Solution

The fourth proportional to 296,644.17, 409,369.65 and 160,677.57 is: 221,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,644.17 : 409,369.65 = 160,677.57 : x
  2. Step 2: Convert to fraction form
    296,644.17/409,369.65 = 160,677.57/x
  3. Step 3: Cross multiply
    296,644.17x = 409,369.65 × 160,677.57
  4. Step 4: Simplify right side
    296,644.17x = 65,776,520,593.75
  5. Step 5: Solve for x
    x = 65,776,520,593.75/296,644.17
  6. Step 6: Final answer
    x = 221,735.42

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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.