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Finding the Fourth Proportional to 301,310.35, 415,807.14 and 165,346.58

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Solution

The fourth proportional to 301,310.35, 415,807.14 and 165,346.58 is: 228,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,310.35 : 415,807.14 = 165,346.58 : x
  2. Step 2: Convert to fraction form
    301,310.35/415,807.14 = 165,346.58/x
  3. Step 3: Cross multiply
    301,310.35x = 415,807.14 × 165,346.58
  4. Step 4: Simplify right side
    301,310.35x = 68,752,288,538.58
  5. Step 5: Solve for x
    x = 68,752,288,538.58/301,310.35
  6. Step 6: Final answer
    x = 228,177.66

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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.