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Finding the Fourth Proportional to 412,651.52, 618,769.92 and 191,191.04

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Solution

The fourth proportional to 412,651.52, 618,769.92 and 191,191.04 is: 286,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,651.52 : 618,769.92 = 191,191.04 : x
  2. Step 2: Convert to fraction form
    412,651.52/618,769.92 = 191,191.04/x
  3. Step 3: Cross multiply
    412,651.52x = 618,769.92 × 191,191.04
  4. Step 4: Simplify right side
    412,651.52x = 118,303,264,525.52
  5. Step 5: Solve for x
    x = 118,303,264,525.52/412,651.52
  6. Step 6: Final answer
    x = 286,690.49

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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.