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Finding the Fourth Proportional to 534,856.48, 738,107.72 and 293,133.84

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Solution

The fourth proportional to 534,856.48, 738,107.72 and 293,133.84 is: 404,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,856.48 : 738,107.72 = 293,133.84 : x
  2. Step 2: Convert to fraction form
    534,856.48/738,107.72 = 293,133.84/x
  3. Step 3: Cross multiply
    534,856.48x = 738,107.72 × 293,133.84
  4. Step 4: Simplify right side
    534,856.48x = 216,364,350,297.25
  5. Step 5: Solve for x
    x = 216,364,350,297.25/534,856.48
  6. Step 6: Final answer
    x = 404,527.87

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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.