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Finding the Fourth Proportional to 536,085.14, 803,949.17 and 216,154.31

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Solution

The fourth proportional to 536,085.14, 803,949.17 and 216,154.31 is: 324,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,085.14 : 803,949.17 = 216,154.31 : x
  2. Step 2: Convert to fraction form
    536,085.14/803,949.17 = 216,154.31/x
  3. Step 3: Cross multiply
    536,085.14x = 803,949.17 × 216,154.31
  4. Step 4: Simplify right side
    536,085.14x = 173,777,073,015.91
  5. Step 5: Solve for x
    x = 173,777,073,015.91/536,085.14
  6. Step 6: Final answer
    x = 324,159.47

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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.