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Finding the Fourth Proportional to 299,493.16, 413,297.44 and 163,526.68

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Solution

The fourth proportional to 299,493.16, 413,297.44 and 163,526.68 is: 225,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,493.16 : 413,297.44 = 163,526.68 : x
  2. Step 2: Convert to fraction form
    299,493.16/413,297.44 = 163,526.68/x
  3. Step 3: Cross multiply
    299,493.16x = 413,297.44 × 163,526.68
  4. Step 4: Simplify right side
    299,493.16x = 67,585,158,215.70
  5. Step 5: Solve for x
    x = 67,585,158,215.70/299,493.16
  6. Step 6: Final answer
    x = 225,665.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.