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Finding the Fourth Proportional to 537,651.22, 806,478.94 and 217,809.13

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Solution

The fourth proportional to 537,651.22, 806,478.94 and 217,809.13 is: 326,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,651.22 : 806,478.94 = 217,809.13 : x
  2. Step 2: Convert to fraction form
    537,651.22/806,478.94 = 217,809.13/x
  3. Step 3: Cross multiply
    537,651.22x = 806,478.94 × 217,809.13
  4. Step 4: Simplify right side
    537,651.22x = 175,658,476,284.72
  5. Step 5: Solve for x
    x = 175,658,476,284.72/537,651.22
  6. Step 6: Final answer
    x = 326,714.55

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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.