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Finding the Fourth Proportional to 462,214, 693,379.32 and 158,667.34

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Solution

The fourth proportional to 462,214, 693,379.32 and 158,667.34 is: 238,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,214 : 693,379.32 = 158,667.34 : x
  2. Step 2: Convert to fraction form
    462,214/693,379.32 = 158,667.34/x
  3. Step 3: Cross multiply
    462,214x = 693,379.32 × 158,667.34
  4. Step 4: Simplify right side
    462,214x = 110,016,652,315.41
  5. Step 5: Solve for x
    x = 110,016,652,315.41/462,214
  6. Step 6: Final answer
    x = 238,021.03

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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.