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Finding the Fourth Proportional to 401,592.33, 601,568.37 and 224,193.83

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Solution

The fourth proportional to 401,592.33, 601,568.37 and 224,193.83 is: 335,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,592.33 : 601,568.37 = 224,193.83 : x
  2. Step 2: Convert to fraction form
    401,592.33/601,568.37 = 224,193.83/x
  3. Step 3: Cross multiply
    401,592.33x = 601,568.37 × 224,193.83
  4. Step 4: Simplify right side
    401,592.33x = 134,867,913,869.32
  5. Step 5: Solve for x
    x = 134,867,913,869.32/401,592.33
  6. Step 6: Final answer
    x = 335,832.89

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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.