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Finding the Fourth Proportional to 468,085.80, 702,371.70 and 218,767.80

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Solution

The fourth proportional to 468,085.80, 702,371.70 and 218,767.80 is: 328,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085.80 : 702,371.70 = 218,767.80 : x
  2. Step 2: Convert to fraction form
    468,085.80/702,371.70 = 218,767.80/x
  3. Step 3: Cross multiply
    468,085.80x = 702,371.70 × 218,767.80
  4. Step 4: Simplify right side
    468,085.80x = 153,656,311,591.26
  5. Step 5: Solve for x
    x = 153,656,311,591.26/468,085.80
  6. Step 6: Final answer
    x = 328,265.27

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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.