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Finding the Fourth Proportional to 537,667.71, 806,503.83 and 217,825.80

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Solution

The fourth proportional to 537,667.71, 806,503.83 and 217,825.80 is: 326,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,667.71 : 806,503.83 = 217,825.80 : x
  2. Step 2: Convert to fraction form
    537,667.71/806,503.83 = 217,825.80/x
  3. Step 3: Cross multiply
    537,667.71x = 806,503.83 × 217,825.80
  4. Step 4: Simplify right side
    537,667.71x = 175,677,341,972.81
  5. Step 5: Solve for x
    x = 175,677,341,972.81/537,667.71
  6. Step 6: Final answer
    x = 326,739.62

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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.