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Finding the Fourth Proportional to 294,275, 406,143.24 and 173,377.64

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Solution

The fourth proportional to 294,275, 406,143.24 and 173,377.64 is: 239,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,275 : 406,143.24 = 173,377.64 : x
  2. Step 2: Convert to fraction form
    294,275/406,143.24 = 173,377.64/x
  3. Step 3: Cross multiply
    294,275x = 406,143.24 × 173,377.64
  4. Step 4: Simplify right side
    294,275x = 70,416,156,453.15
  5. Step 5: Solve for x
    x = 70,416,156,453.15/294,275
  6. Step 6: Final answer
    x = 239,286.91

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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.