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Finding the Fourth Proportional to 389,785.41, 584,207.24 and 189,806.13

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Solution

The fourth proportional to 389,785.41, 584,207.24 and 189,806.13 is: 284,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,785.41 : 584,207.24 = 189,806.13 : x
  2. Step 2: Convert to fraction form
    389,785.41/584,207.24 = 189,806.13/x
  3. Step 3: Cross multiply
    389,785.41x = 584,207.24 × 189,806.13
  4. Step 4: Simplify right side
    389,785.41x = 110,886,114,393.35
  5. Step 5: Solve for x
    x = 110,886,114,393.35/389,785.41
  6. Step 6: Final answer
    x = 284,479.90

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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.