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Finding the Fourth Proportional to 301,262.81, 415,728.65 and 165,293.69

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Solution

The fourth proportional to 301,262.81, 415,728.65 and 165,293.69 is: 228,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262.81 : 415,728.65 = 165,293.69 : x
  2. Step 2: Convert to fraction form
    301,262.81/415,728.65 = 165,293.69/x
  3. Step 3: Cross multiply
    301,262.81x = 415,728.65 × 165,293.69
  4. Step 4: Simplify right side
    301,262.81x = 68,717,321,770.75
  5. Step 5: Solve for x
    x = 68,717,321,770.75/301,262.81
  6. Step 6: Final answer
    x = 228,097.59

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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.