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Finding the Fourth Proportional to 593,049.78, 818,409.20 and 321,117.82

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Solution

The fourth proportional to 593,049.78, 818,409.20 and 321,117.82 is: 443,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,049.78 : 818,409.20 = 321,117.82 : x
  2. Step 2: Convert to fraction form
    593,049.78/818,409.20 = 321,117.82/x
  3. Step 3: Cross multiply
    593,049.78x = 818,409.20 × 321,117.82
  4. Step 4: Simplify right side
    593,049.78x = 262,805,774,520.33
  5. Step 5: Solve for x
    x = 262,805,774,520.33/593,049.78
  6. Step 6: Final answer
    x = 443,142.86

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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.