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Finding the Fourth Proportional to 401,872.30, 603,403.65 and 224,733.10

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Solution

The fourth proportional to 401,872.30, 603,403.65 and 224,733.10 is: 337,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,872.30 : 603,403.65 = 224,733.10 : x
  2. Step 2: Convert to fraction form
    401,872.30/603,403.65 = 224,733.10/x
  3. Step 3: Cross multiply
    401,872.30x = 603,403.65 × 224,733.10
  4. Step 4: Simplify right side
    401,872.30x = 135,604,772,815.82
  5. Step 5: Solve for x
    x = 135,604,772,815.82/401,872.30
  6. Step 6: Final answer
    x = 337,432.49

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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.