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Finding the Fourth Proportional to 589,656.42, 813,748.41 and 321,384.42

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Solution

The fourth proportional to 589,656.42, 813,748.41 and 321,384.42 is: 443,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,656.42 : 813,748.41 = 321,384.42 : x
  2. Step 2: Convert to fraction form
    589,656.42/813,748.41 = 321,384.42/x
  3. Step 3: Cross multiply
    589,656.42x = 813,748.41 × 321,384.42
  4. Step 4: Simplify right side
    589,656.42x = 261,526,060,773.77
  5. Step 5: Solve for x
    x = 261,526,060,773.77/589,656.42
  6. Step 6: Final answer
    x = 443,522.79

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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.