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Finding the Fourth Proportional to 539,841.49, 809,759.93 and 219,922.01

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Solution

The fourth proportional to 539,841.49, 809,759.93 and 219,922.01 is: 329,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,841.49 : 809,759.93 = 219,922.01 : x
  2. Step 2: Convert to fraction form
    539,841.49/809,759.93 = 219,922.01/x
  3. Step 3: Cross multiply
    539,841.49x = 809,759.93 × 219,922.01
  4. Step 4: Simplify right side
    539,841.49x = 178,084,031,423.06
  5. Step 5: Solve for x
    x = 178,084,031,423.06/539,841.49
  6. Step 6: Final answer
    x = 329,882.08

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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.