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Finding the Fourth Proportional to 273,109.80, 409,280.70 and 217,045.80

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Solution

The fourth proportional to 273,109.80, 409,280.70 and 217,045.80 is: 325,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,109.80 : 409,280.70 = 217,045.80 : x
  2. Step 2: Convert to fraction form
    273,109.80/409,280.70 = 217,045.80/x
  3. Step 3: Cross multiply
    273,109.80x = 409,280.70 × 217,045.80
  4. Step 4: Simplify right side
    273,109.80x = 88,832,656,956.06
  5. Step 5: Solve for x
    x = 88,832,656,956.06/273,109.80
  6. Step 6: Final answer
    x = 325,263.53

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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.