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Finding the Fourth Proportional to 301,760.77, 416,430.40 and 165,793.54

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Solution

The fourth proportional to 301,760.77, 416,430.40 and 165,793.54 is: 228,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,760.77 : 416,430.40 = 165,793.54 : x
  2. Step 2: Convert to fraction form
    301,760.77/416,430.40 = 165,793.54/x
  3. Step 3: Cross multiply
    301,760.77x = 416,430.40 × 165,793.54
  4. Step 4: Simplify right side
    301,760.77x = 69,041,469,345.78
  5. Step 5: Solve for x
    x = 69,041,469,345.78/301,760.77
  6. Step 6: Final answer
    x = 228,795.38

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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.