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Finding the Fourth Proportional to 322,154.32, 444,795.36 and 201,349.90

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Solution

The fourth proportional to 322,154.32, 444,795.36 and 201,349.90 is: 278,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,154.32 : 444,795.36 = 201,349.90 : x
  2. Step 2: Convert to fraction form
    322,154.32/444,795.36 = 201,349.90/x
  3. Step 3: Cross multiply
    322,154.32x = 444,795.36 × 201,349.90
  4. Step 4: Simplify right side
    322,154.32x = 89,559,501,256.46
  5. Step 5: Solve for x
    x = 89,559,501,256.46/322,154.32
  6. Step 6: Final answer
    x = 278,001.86

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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.