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Finding the Fourth Proportional to 296,490.29, 409,156.83 and 160,524.32

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Solution

The fourth proportional to 296,490.29, 409,156.83 and 160,524.32 is: 221,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490.29 : 409,156.83 = 160,524.32 : x
  2. Step 2: Convert to fraction form
    296,490.29/409,156.83 = 160,524.32/x
  3. Step 3: Cross multiply
    296,490.29x = 409,156.83 × 160,524.32
  4. Step 4: Simplify right side
    296,490.29x = 65,679,619,863.32
  5. Step 5: Solve for x
    x = 65,679,619,863.32/296,490.29
  6. Step 6: Final answer
    x = 221,523.68

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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.