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Finding the Fourth Proportional to 299,283.62, 413,020.18 and 163,326.34

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Solution

The fourth proportional to 299,283.62, 413,020.18 and 163,326.34 is: 225,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,283.62 : 413,020.18 = 163,326.34 : x
  2. Step 2: Convert to fraction form
    299,283.62/413,020.18 = 163,326.34/x
  3. Step 3: Cross multiply
    299,283.62x = 413,020.18 × 163,326.34
  4. Step 4: Simplify right side
    299,283.62x = 67,457,074,345.54
  5. Step 5: Solve for x
    x = 67,457,074,345.54/299,283.62
  6. Step 6: Final answer
    x = 225,395.14

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1.5x scale

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.