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Finding the Fourth Proportional to 400,140.40, 599,404.20 and 249,919.60

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Solution

The fourth proportional to 400,140.40, 599,404.20 and 249,919.60 is: 374,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,140.40 : 599,404.20 = 249,919.60 : x
  2. Step 2: Convert to fraction form
    400,140.40/599,404.20 = 249,919.60/x
  3. Step 3: Cross multiply
    400,140.40x = 599,404.20 × 249,919.60
  4. Step 4: Simplify right side
    400,140.40x = 149,802,857,902.32
  5. Step 5: Solve for x
    x = 149,802,857,902.32/400,140.40
  6. Step 6: Final answer
    x = 374,375.74

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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.