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Finding the Fourth Proportional to 462,208, 693,370.32 and 158,661.31

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Solution

The fourth proportional to 462,208, 693,370.32 and 158,661.31 is: 238,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,208 : 693,370.32 = 158,661.31 : x
  2. Step 2: Convert to fraction form
    462,208/693,370.32 = 158,661.31/x
  3. Step 3: Cross multiply
    462,208x = 693,370.32 × 158,661.31
  4. Step 4: Simplify right side
    462,208x = 110,011,043,286.32
  5. Step 5: Solve for x
    x = 110,011,043,286.32/462,208
  6. Step 6: Final answer
    x = 238,011.98

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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.