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Finding the Fourth Proportional to 321,412.38, 443,459.35 and 253,217.71

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Solution

The fourth proportional to 321,412.38, 443,459.35 and 253,217.71 is: 349,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,412.38 : 443,459.35 = 253,217.71 : x
  2. Step 2: Convert to fraction form
    321,412.38/443,459.35 = 253,217.71/x
  3. Step 3: Cross multiply
    321,412.38x = 443,459.35 × 253,217.71
  4. Step 4: Simplify right side
    321,412.38x = 112,291,759,343.40
  5. Step 5: Solve for x
    x = 112,291,759,343.40/321,412.38
  6. Step 6: Final answer
    x = 349,369.74

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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.