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Finding the Fourth Proportional to 301,499.42, 416,067.06 and 165,535.64

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Solution

The fourth proportional to 301,499.42, 416,067.06 and 165,535.64 is: 228,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,499.42 : 416,067.06 = 165,535.64 : x
  2. Step 2: Convert to fraction form
    301,499.42/416,067.06 = 165,535.64/x
  3. Step 3: Cross multiply
    301,499.42x = 416,067.06 × 165,535.64
  4. Step 4: Simplify right side
    301,499.42x = 68,873,927,060.02
  5. Step 5: Solve for x
    x = 68,873,927,060.02/301,499.42
  6. Step 6: Final answer
    x = 228,438.01

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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.