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Finding the Fourth Proportional to 218,809.80, 328,214.70 and 217,427.40

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Solution

The fourth proportional to 218,809.80, 328,214.70 and 217,427.40 is: 326,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,809.80 : 328,214.70 = 217,427.40 : x
  2. Step 2: Convert to fraction form
    218,809.80/328,214.70 = 217,427.40/x
  3. Step 3: Cross multiply
    218,809.80x = 328,214.70 × 217,427.40
  4. Step 4: Simplify right side
    218,809.80x = 71,362,868,862.78
  5. Step 5: Solve for x
    x = 71,362,868,862.78/218,809.80
  6. Step 6: Final answer
    x = 326,141.10

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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.