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Finding the Fourth Proportional to 401,863.80, 603,390.90 and 224,724.60

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Solution

The fourth proportional to 401,863.80, 603,390.90 and 224,724.60 is: 337,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,863.80 : 603,390.90 = 224,724.60 : x
  2. Step 2: Convert to fraction form
    401,863.80/603,390.90 = 224,724.60/x
  3. Step 3: Cross multiply
    401,863.80x = 603,390.90 × 224,724.60
  4. Step 4: Simplify right side
    401,863.80x = 135,596,778,646.14
  5. Step 5: Solve for x
    x = 135,596,778,646.14/401,863.80
  6. Step 6: Final answer
    x = 337,419.74

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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.