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Finding the Fourth Proportional to 301,200.02, 415,654.34 and 165,230.48

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Solution

The fourth proportional to 301,200.02, 415,654.34 and 165,230.48 is: 228,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,200.02 : 415,654.34 = 165,230.48 : x
  2. Step 2: Convert to fraction form
    301,200.02/415,654.34 = 165,230.48/x
  3. Step 3: Cross multiply
    301,200.02x = 415,654.34 × 165,230.48
  4. Step 4: Simplify right side
    301,200.02x = 68,678,766,325.27
  5. Step 5: Solve for x
    x = 68,678,766,325.27/301,200.02
  6. Step 6: Final answer
    x = 228,017.14

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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.