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Finding the Fourth Proportional to 301,293, 415,785.96 and 165,339.90

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Solution

The fourth proportional to 301,293, 415,785.96 and 165,339.90 is: 228,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,293 : 415,785.96 = 165,339.90 : x
  2. Step 2: Convert to fraction form
    301,293/415,785.96 = 165,339.90/x
  3. Step 3: Cross multiply
    301,293x = 415,785.96 × 165,339.90
  4. Step 4: Simplify right side
    301,293x = 68,746,009,047.80
  5. Step 5: Solve for x
    x = 68,746,009,047.80/301,293
  6. Step 6: Final answer
    x = 228,169.95

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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.