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Finding the Fourth Proportional to 295,903.78, 408,339 and 166,841.12

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Solution

The fourth proportional to 295,903.78, 408,339 and 166,841.12 is: 230,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,903.78 : 408,339 = 166,841.12 : x
  2. Step 2: Convert to fraction form
    295,903.78/408,339 = 166,841.12/x
  3. Step 3: Cross multiply
    295,903.78x = 408,339 × 166,841.12
  4. Step 4: Simplify right side
    295,903.78x = 68,127,736,099.68
  5. Step 5: Solve for x
    x = 68,127,736,099.68/295,903.78
  6. Step 6: Final answer
    x = 230,236.11

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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.