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Finding the Fourth Proportional to 386,356.14, 533,171.16 and 216,590.27

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Solution

The fourth proportional to 386,356.14, 533,171.16 and 216,590.27 is: 298,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,356.14 : 533,171.16 = 216,590.27 : x
  2. Step 2: Convert to fraction form
    386,356.14/533,171.16 = 216,590.27/x
  3. Step 3: Cross multiply
    386,356.14x = 533,171.16 × 216,590.27
  4. Step 4: Simplify right side
    386,356.14x = 115,479,682,834.76
  5. Step 5: Solve for x
    x = 115,479,682,834.76/386,356.14
  6. Step 6: Final answer
    x = 298,894.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.