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Finding the Fourth Proportional to 369,987.87, 510,584.85 and 200,222.00

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Solution

The fourth proportional to 369,987.87, 510,584.85 and 200,222.00 is: 276,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,987.87 : 510,584.85 = 200,222.00 : x
  2. Step 2: Convert to fraction form
    369,987.87/510,584.85 = 200,222.00/x
  3. Step 3: Cross multiply
    369,987.87x = 510,584.85 × 200,222.00
  4. Step 4: Simplify right side
    369,987.87x = 102,230,317,283.78
  5. Step 5: Solve for x
    x = 102,230,317,283.78/369,987.87
  6. Step 6: Final answer
    x = 276,307.21

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Why These Related Problems?

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