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Finding the Fourth Proportional to 413,686.62, 570,895.24 and 229,942.40

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Solution

The fourth proportional to 413,686.62, 570,895.24 and 229,942.40 is: 317,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,686.62 : 570,895.24 = 229,942.40 : x
  2. Step 2: Convert to fraction form
    413,686.62/570,895.24 = 229,942.40/x
  3. Step 3: Cross multiply
    413,686.62x = 570,895.24 × 229,942.40
  4. Step 4: Simplify right side
    413,686.62x = 131,273,021,634.18
  5. Step 5: Solve for x
    x = 131,273,021,634.18/413,686.62
  6. Step 6: Final answer
    x = 317,324.79

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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.