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Finding the Fourth Proportional to 462,013.50, 693,296.73 and 199,357.50

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Solution

The fourth proportional to 462,013.50, 693,296.73 and 199,357.50 is: 299,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,013.50 : 693,296.73 = 199,357.50 : x
  2. Step 2: Convert to fraction form
    462,013.50/693,296.73 = 199,357.50/x
  3. Step 3: Cross multiply
    462,013.50x = 693,296.73 × 199,357.50
  4. Step 4: Simplify right side
    462,013.50x = 138,213,902,850.98
  5. Step 5: Solve for x
    x = 138,213,902,850.98/462,013.50
  6. Step 6: Final answer
    x = 299,155.55

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1.5x scale

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.