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Finding the Fourth Proportional to 462,433.32, 693,705.54 and 162,851.98

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Solution

The fourth proportional to 462,433.32, 693,705.54 and 162,851.98 is: 244,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,433.32 : 693,705.54 = 162,851.98 : x
  2. Step 2: Convert to fraction form
    462,433.32/693,705.54 = 162,851.98/x
  3. Step 3: Cross multiply
    462,433.32x = 693,705.54 × 162,851.98
  4. Step 4: Simplify right side
    462,433.32x = 112,971,320,725.97
  5. Step 5: Solve for x
    x = 112,971,320,725.97/462,433.32
  6. Step 6: Final answer
    x = 244,297.54

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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.