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Finding the Fourth Proportional to 534,868.50, 738,124.31 and 293,145.87

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Solution

The fourth proportional to 534,868.50, 738,124.31 and 293,145.87 is: 404,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,868.50 : 738,124.31 = 293,145.87 : x
  2. Step 2: Convert to fraction form
    534,868.50/738,124.31 = 293,145.87/x
  3. Step 3: Cross multiply
    534,868.50x = 738,124.31 × 293,145.87
  4. Step 4: Simplify right side
    534,868.50x = 216,378,093,023.10
  5. Step 5: Solve for x
    x = 216,378,093,023.10/534,868.50
  6. Step 6: Final answer
    x = 404,544.47

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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.