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Finding the Fourth Proportional to 442,204.68, 663,099.66 and 161,525.64

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Solution

The fourth proportional to 442,204.68, 663,099.66 and 161,525.64 is: 242,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,204.68 : 663,099.66 = 161,525.64 : x
  2. Step 2: Convert to fraction form
    442,204.68/663,099.66 = 161,525.64/x
  3. Step 3: Cross multiply
    442,204.68x = 663,099.66 × 161,525.64
  4. Step 4: Simplify right side
    442,204.68x = 107,107,596,965.28
  5. Step 5: Solve for x
    x = 107,107,596,965.28/442,204.68
  6. Step 6: Final answer
    x = 242,212.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.