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Finding the Fourth Proportional to 367,412.80, 551,443.20 and 217,465.60

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Solution

The fourth proportional to 367,412.80, 551,443.20 and 217,465.60 is: 326,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,412.80 : 551,443.20 = 217,465.60 : x
  2. Step 2: Convert to fraction form
    367,412.80/551,443.20 = 217,465.60/x
  3. Step 3: Cross multiply
    367,412.80x = 551,443.20 × 217,465.60
  4. Step 4: Simplify right side
    367,412.80x = 119,919,926,353.92
  5. Step 5: Solve for x
    x = 119,919,926,353.92/367,412.80
  6. Step 6: Final answer
    x = 326,390.17

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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.