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Finding the Fourth Proportional to 537,666.21, 806,501.58 and 217,824.30

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Solution

The fourth proportional to 537,666.21, 806,501.58 and 217,824.30 is: 326,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,666.21 : 806,501.58 = 217,824.30 : x
  2. Step 2: Convert to fraction form
    537,666.21/806,501.58 = 217,824.30/x
  3. Step 3: Cross multiply
    537,666.21x = 806,501.58 × 217,824.30
  4. Step 4: Simplify right side
    537,666.21x = 175,675,642,112.39
  5. Step 5: Solve for x
    x = 175,675,642,112.39/537,666.21
  6. Step 6: Final answer
    x = 326,737.37

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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.