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Finding the Fourth Proportional to 462,435.82, 693,709.26 and 162,854.44

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Solution

The fourth proportional to 462,435.82, 693,709.26 and 162,854.44 is: 244,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,435.82 : 693,709.26 = 162,854.44 : x
  2. Step 2: Convert to fraction form
    462,435.82/693,709.26 = 162,854.44/x
  3. Step 3: Cross multiply
    462,435.82x = 693,709.26 × 162,854.44
  4. Step 4: Simplify right side
    462,435.82x = 112,973,633,060.11
  5. Step 5: Solve for x
    x = 112,973,633,060.11/462,435.82
  6. Step 6: Final answer
    x = 244,301.22

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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.