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Finding the Fourth Proportional to 334,145.60, 502,384.80 and 327,147.20

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Solution

The fourth proportional to 334,145.60, 502,384.80 and 327,147.20 is: 491,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,145.60 : 502,384.80 = 327,147.20 : x
  2. Step 2: Convert to fraction form
    334,145.60/502,384.80 = 327,147.20/x
  3. Step 3: Cross multiply
    334,145.60x = 502,384.80 × 327,147.20
  4. Step 4: Simplify right side
    334,145.60x = 164,353,780,642.56
  5. Step 5: Solve for x
    x = 164,353,780,642.56/334,145.60
  6. Step 6: Final answer
    x = 491,862.77

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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.