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Finding the Fourth Proportional to 534,817.52, 738,049.23 and 293,109.07

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Solution

The fourth proportional to 534,817.52, 738,049.23 and 293,109.07 is: 404,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,817.52 : 738,049.23 = 293,109.07 : x
  2. Step 2: Convert to fraction form
    534,817.52/738,049.23 = 293,109.07/x
  3. Step 3: Cross multiply
    534,817.52x = 738,049.23 × 293,109.07
  4. Step 4: Simplify right side
    534,817.52x = 216,328,918,263.73
  5. Step 5: Solve for x
    x = 216,328,918,263.73/534,817.52
  6. Step 6: Final answer
    x = 404,491.08

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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.