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Finding the Fourth Proportional to 502,969.13, 752,804.38 and 274,915.45

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Solution

The fourth proportional to 502,969.13, 752,804.38 and 274,915.45 is: 411,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,969.13 : 752,804.38 = 274,915.45 : x
  2. Step 2: Convert to fraction form
    502,969.13/752,804.38 = 274,915.45/x
  3. Step 3: Cross multiply
    502,969.13x = 752,804.38 × 274,915.45
  4. Step 4: Simplify right side
    502,969.13x = 206,957,556,174.32
  5. Step 5: Solve for x
    x = 206,957,556,174.32/502,969.13
  6. Step 6: Final answer
    x = 411,471.69

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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.