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Finding the Fourth Proportional to 462,003.40, 693,005.10 and 162,481.60

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Solution

The fourth proportional to 462,003.40, 693,005.10 and 162,481.60 is: 243,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.40 : 693,005.10 = 162,481.60 : x
  2. Step 2: Convert to fraction form
    462,003.40/693,005.10 = 162,481.60/x
  3. Step 3: Cross multiply
    462,003.40x = 693,005.10 × 162,481.60
  4. Step 4: Simplify right side
    462,003.40x = 112,600,577,456.16
  5. Step 5: Solve for x
    x = 112,600,577,456.16/462,003.40
  6. Step 6: Final answer
    x = 243,722.40

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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.