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Finding the Fourth Proportional to 409,898, 565,659.24 and 221,482

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Solution

The fourth proportional to 409,898, 565,659.24 and 221,482 is: 305,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898 : 565,659.24 = 221,482 : x
  2. Step 2: Convert to fraction form
    409,898/565,659.24 = 221,482/x
  3. Step 3: Cross multiply
    409,898x = 565,659.24 × 221,482
  4. Step 4: Simplify right side
    409,898x = 125,283,339,793.68
  5. Step 5: Solve for x
    x = 125,283,339,793.68/409,898
  6. Step 6: Final answer
    x = 305,645.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.