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Finding the Fourth Proportional to 301,542.50, 416,110.01 and 165,575.90

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Solution

The fourth proportional to 301,542.50, 416,110.01 and 165,575.90 is: 228,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,542.50 : 416,110.01 = 165,575.90 : x
  2. Step 2: Convert to fraction form
    301,542.50/416,110.01 = 165,575.90/x
  3. Step 3: Cross multiply
    301,542.50x = 416,110.01 × 165,575.90
  4. Step 4: Simplify right side
    301,542.50x = 68,897,786,496.33
  5. Step 5: Solve for x
    x = 68,897,786,496.33/301,542.50
  6. Step 6: Final answer
    x = 228,484.50

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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.