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Finding the Fourth Proportional to 404,214.80, 606,376.20 and 137,908.40

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Solution

The fourth proportional to 404,214.80, 606,376.20 and 137,908.40 is: 206,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,214.80 : 606,376.20 = 137,908.40 : x
  2. Step 2: Convert to fraction form
    404,214.80/606,376.20 = 137,908.40/x
  3. Step 3: Cross multiply
    404,214.80x = 606,376.20 × 137,908.40
  4. Step 4: Simplify right side
    404,214.80x = 83,624,371,540.08
  5. Step 5: Solve for x
    x = 83,624,371,540.08/404,214.80
  6. Step 6: Final answer
    x = 206,881.02

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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.