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Finding the Fourth Proportional to 711,679.30, 982,093 and 405,854.11

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Solution

The fourth proportional to 711,679.30, 982,093 and 405,854.11 is: 560,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,679.30 : 982,093 = 405,854.11 : x
  2. Step 2: Convert to fraction form
    711,679.30/982,093 = 405,854.11/x
  3. Step 3: Cross multiply
    711,679.30x = 982,093 × 405,854.11
  4. Step 4: Simplify right side
    711,679.30x = 398,586,480,452.23
  5. Step 5: Solve for x
    x = 398,586,480,452.23/711,679.30
  6. Step 6: Final answer
    x = 560,064.74

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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.