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Finding the Fourth Proportional to 462,296.80, 693,447.84 and 142,444.48

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Solution

The fourth proportional to 462,296.80, 693,447.84 and 142,444.48 is: 213,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,296.80 : 693,447.84 = 142,444.48 : x
  2. Step 2: Convert to fraction form
    462,296.80/693,447.84 = 142,444.48/x
  3. Step 3: Cross multiply
    462,296.80x = 693,447.84 × 142,444.48
  4. Step 4: Simplify right side
    462,296.80x = 98,777,816,975.92
  5. Step 5: Solve for x
    x = 98,777,816,975.92/462,296.80
  6. Step 6: Final answer
    x = 213,667.53

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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.