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Finding the Fourth Proportional to 299,424.65, 413,199.83 and 163,461.29

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Solution

The fourth proportional to 299,424.65, 413,199.83 and 163,461.29 is: 225,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,424.65 : 413,199.83 = 163,461.29 : x
  2. Step 2: Convert to fraction form
    299,424.65/413,199.83 = 163,461.29/x
  3. Step 3: Cross multiply
    299,424.65x = 413,199.83 × 163,461.29
  4. Step 4: Simplify right side
    299,424.65x = 67,542,175,582.23
  5. Step 5: Solve for x
    x = 67,542,175,582.23/299,424.65
  6. Step 6: Final answer
    x = 225,573.20

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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.