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Finding the Fourth Proportional to 299,127.60, 412,797.38 and 163,164.47

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Solution

The fourth proportional to 299,127.60, 412,797.38 and 163,164.47 is: 225,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.60 : 412,797.38 = 163,164.47 : x
  2. Step 2: Convert to fraction form
    299,127.60/412,797.38 = 163,164.47/x
  3. Step 3: Cross multiply
    299,127.60x = 412,797.38 × 163,164.47
  4. Step 4: Simplify right side
    299,127.60x = 67,353,865,725.09
  5. Step 5: Solve for x
    x = 67,353,865,725.09/299,127.60
  6. Step 6: Final answer
    x = 225,167.67

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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.