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Finding the Fourth Proportional to 301,262.56, 415,728.30 and 165,293.44

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Solution

The fourth proportional to 301,262.56, 415,728.30 and 165,293.44 is: 228,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262.56 : 415,728.30 = 165,293.44 : x
  2. Step 2: Convert to fraction form
    301,262.56/415,728.30 = 165,293.44/x
  3. Step 3: Cross multiply
    301,262.56x = 415,728.30 × 165,293.44
  4. Step 4: Simplify right side
    301,262.56x = 68,717,160,812.35
  5. Step 5: Solve for x
    x = 68,717,160,812.35/301,262.56
  6. Step 6: Final answer
    x = 228,097.25

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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.