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Finding the Fourth Proportional to 380,572.02, 570,944.52 and 127,833.12

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Solution

The fourth proportional to 380,572.02, 570,944.52 and 127,833.12 is: 191,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,572.02 : 570,944.52 = 127,833.12 : x
  2. Step 2: Convert to fraction form
    380,572.02/570,944.52 = 127,833.12/x
  3. Step 3: Cross multiply
    380,572.02x = 570,944.52 × 127,833.12
  4. Step 4: Simplify right side
    380,572.02x = 72,985,619,338.50
  5. Step 5: Solve for x
    x = 72,985,619,338.50/380,572.02
  6. Step 6: Final answer
    x = 191,778.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.