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Finding the Fourth Proportional to 401,876.80, 603,410.40 and 224,737.60

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Solution

The fourth proportional to 401,876.80, 603,410.40 and 224,737.60 is: 337,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,876.80 : 603,410.40 = 224,737.60 : x
  2. Step 2: Convert to fraction form
    401,876.80/603,410.40 = 224,737.60/x
  3. Step 3: Cross multiply
    401,876.80x = 603,410.40 × 224,737.60
  4. Step 4: Simplify right side
    401,876.80x = 135,609,005,111.04
  5. Step 5: Solve for x
    x = 135,609,005,111.04/401,876.80
  6. Step 6: Final answer
    x = 337,439.25

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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.