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Finding the Fourth Proportional to 397,304.10, 595,956.15 and 210,680.10

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Solution

The fourth proportional to 397,304.10, 595,956.15 and 210,680.10 is: 316,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,304.10 : 595,956.15 = 210,680.10 : x
  2. Step 2: Convert to fraction form
    397,304.10/595,956.15 = 210,680.10/x
  3. Step 3: Cross multiply
    397,304.10x = 595,956.15 × 210,680.10
  4. Step 4: Simplify right side
    397,304.10x = 125,556,101,277.62
  5. Step 5: Solve for x
    x = 125,556,101,277.62/397,304.10
  6. Step 6: Final answer
    x = 316,020.15

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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.