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Finding the Fourth Proportional to 462,297.80, 693,449.34 and 142,445.48

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Solution

The fourth proportional to 462,297.80, 693,449.34 and 142,445.48 is: 213,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,297.80 : 693,449.34 = 142,445.48 : x
  2. Step 2: Convert to fraction form
    462,297.80/693,449.34 = 142,445.48/x
  3. Step 3: Cross multiply
    462,297.80x = 693,449.34 × 142,445.48
  4. Step 4: Simplify right side
    462,297.80x = 98,778,724,091.98
  5. Step 5: Solve for x
    x = 98,778,724,091.98/462,297.80
  6. Step 6: Final answer
    x = 213,669.03

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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.