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Finding the Fourth Proportional to 299,777.76, 413,688.33 and 163,808.80

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Solution

The fourth proportional to 299,777.76, 413,688.33 and 163,808.80 is: 226,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,777.76 : 413,688.33 = 163,808.80 : x
  2. Step 2: Convert to fraction form
    299,777.76/413,688.33 = 163,808.80/x
  3. Step 3: Cross multiply
    299,777.76x = 413,688.33 × 163,808.80
  4. Step 4: Simplify right side
    299,777.76x = 67,765,787,877.08
  5. Step 5: Solve for x
    x = 67,765,787,877.08/299,777.76
  6. Step 6: Final answer
    x = 226,053.42

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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.