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Finding the Fourth Proportional to 408,956.31, 613,559.66 and 209,417.97

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Solution

The fourth proportional to 408,956.31, 613,559.66 and 209,417.97 is: 314,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,956.31 : 613,559.66 = 209,417.97 : x
  2. Step 2: Convert to fraction form
    408,956.31/613,559.66 = 209,417.97/x
  3. Step 3: Cross multiply
    408,956.31x = 613,559.66 × 209,417.97
  4. Step 4: Simplify right side
    408,956.31x = 128,490,421,295.48
  5. Step 5: Solve for x
    x = 128,490,421,295.48/408,956.31
  6. Step 6: Final answer
    x = 314,191.07

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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.