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Finding the Fourth Proportional to 536,666, 805,144.19 and 181,680.06

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Solution

The fourth proportional to 536,666, 805,144.19 and 181,680.06 is: 272,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,666 : 805,144.19 = 181,680.06 : x
  2. Step 2: Convert to fraction form
    536,666/805,144.19 = 181,680.06/x
  3. Step 3: Cross multiply
    536,666x = 805,144.19 × 181,680.06
  4. Step 4: Simplify right side
    536,666x = 146,278,644,747.85
  5. Step 5: Solve for x
    x = 146,278,644,747.85/536,666
  6. Step 6: Final answer
    x = 272,569.24

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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.