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Finding the Fourth Proportional to 299,304.68, 413,049.16 and 163,347.36

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Solution

The fourth proportional to 299,304.68, 413,049.16 and 163,347.36 is: 225,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.68 : 413,049.16 = 163,347.36 : x
  2. Step 2: Convert to fraction form
    299,304.68/413,049.16 = 163,347.36/x
  3. Step 3: Cross multiply
    299,304.68x = 413,049.16 × 163,347.36
  4. Step 4: Simplify right side
    299,304.68x = 67,470,489,836.22
  5. Step 5: Solve for x
    x = 67,470,489,836.22/299,304.68
  6. Step 6: Final answer
    x = 225,424.11

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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.