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Finding the Fourth Proportional to 408,857.10, 613,285.65 and 302,568.90

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Solution

The fourth proportional to 408,857.10, 613,285.65 and 302,568.90 is: 453,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.10 : 613,285.65 = 302,568.90 : x
  2. Step 2: Convert to fraction form
    408,857.10/613,285.65 = 302,568.90/x
  3. Step 3: Cross multiply
    408,857.10x = 613,285.65 × 302,568.90
  4. Step 4: Simplify right side
    408,857.10x = 185,561,164,506.29
  5. Step 5: Solve for x
    x = 185,561,164,506.29/408,857.10
  6. Step 6: Final answer
    x = 453,853.35

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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.