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Finding the Fourth Proportional to 462,438.07, 693,712.64 and 162,856.69

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Solution

The fourth proportional to 462,438.07, 693,712.64 and 162,856.69 is: 244,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,438.07 : 693,712.64 = 162,856.69 : x
  2. Step 2: Convert to fraction form
    462,438.07/693,712.64 = 162,856.69/x
  3. Step 3: Cross multiply
    462,438.07x = 693,712.64 × 162,856.69
  4. Step 4: Simplify right side
    462,438.07x = 112,975,744,361.56
  5. Step 5: Solve for x
    x = 112,975,744,361.56/462,438.07
  6. Step 6: Final answer
    x = 244,304.59

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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.