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Finding the Fourth Proportional to 273,010.80, 409,823.40 and 210,956.40

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Solution

The fourth proportional to 273,010.80, 409,823.40 and 210,956.40 is: 316,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,010.80 : 409,823.40 = 210,956.40 : x
  2. Step 2: Convert to fraction form
    273,010.80/409,823.40 = 210,956.40/x
  3. Step 3: Cross multiply
    273,010.80x = 409,823.40 × 210,956.40
  4. Step 4: Simplify right side
    273,010.80x = 86,454,869,099.76
  5. Step 5: Solve for x
    x = 86,454,869,099.76/273,010.80
  6. Step 6: Final answer
    x = 316,671.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.