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Finding the Fourth Proportional to 301,000.60, 415,384.82 and 165,034.24

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Solution

The fourth proportional to 301,000.60, 415,384.82 and 165,034.24 is: 227,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000.60 : 415,384.82 = 165,034.24 : x
  2. Step 2: Convert to fraction form
    301,000.60/415,384.82 = 165,034.24/x
  3. Step 3: Cross multiply
    301,000.60x = 415,384.82 × 165,034.24
  4. Step 4: Simplify right side
    301,000.60x = 68,552,718,076.24
  5. Step 5: Solve for x
    x = 68,552,718,076.24/301,000.60
  6. Step 6: Final answer
    x = 227,749.44

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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.