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Finding the Fourth Proportional to 654,711.66, 982,307.40 and 275,727.81

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Solution

The fourth proportional to 654,711.66, 982,307.40 and 275,727.81 is: 413,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,711.66 : 982,307.40 = 275,727.81 : x
  2. Step 2: Convert to fraction form
    654,711.66/982,307.40 = 275,727.81/x
  3. Step 3: Cross multiply
    654,711.66x = 982,307.40 × 275,727.81
  4. Step 4: Simplify right side
    654,711.66x = 270,849,468,148.79
  5. Step 5: Solve for x
    x = 270,849,468,148.79/654,711.66
  6. Step 6: Final answer
    x = 413,692.75

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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.