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Finding the Fourth Proportional to 462,008.25, 693,288.86 and 199,352.25

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Solution

The fourth proportional to 462,008.25, 693,288.86 and 199,352.25 is: 299,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,008.25 : 693,288.86 = 199,352.25 : x
  2. Step 2: Convert to fraction form
    462,008.25/693,288.86 = 199,352.25/x
  3. Step 3: Cross multiply
    462,008.25x = 693,288.86 × 199,352.25
  4. Step 4: Simplify right side
    462,008.25x = 138,208,693,144.17
  5. Step 5: Solve for x
    x = 138,208,693,144.17/462,008.25
  6. Step 6: Final answer
    x = 299,147.67

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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.