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Finding the Fourth Proportional to 506,308.88, 759,578.52 and 269,526.80

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Solution

The fourth proportional to 506,308.88, 759,578.52 and 269,526.80 is: 404,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,308.88 : 759,578.52 = 269,526.80 : x
  2. Step 2: Convert to fraction form
    506,308.88/759,578.52 = 269,526.80/x
  3. Step 3: Cross multiply
    506,308.88x = 759,578.52 × 269,526.80
  4. Step 4: Simplify right side
    506,308.88x = 204,726,767,844.34
  5. Step 5: Solve for x
    x = 204,726,767,844.34/506,308.88
  6. Step 6: Final answer
    x = 404,351.53

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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.