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Finding the Fourth Proportional to 301,738.17, 416,406 and 165,780.91

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Solution

The fourth proportional to 301,738.17, 416,406 and 165,780.91 is: 228,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.17 : 416,406 = 165,780.91 : x
  2. Step 2: Convert to fraction form
    301,738.17/416,406 = 165,780.91/x
  3. Step 3: Cross multiply
    301,738.17x = 416,406 × 165,780.91
  4. Step 4: Simplify right side
    301,738.17x = 69,032,165,609.46
  5. Step 5: Solve for x
    x = 69,032,165,609.46/301,738.17
  6. Step 6: Final answer
    x = 228,781.68

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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.