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Finding the Fourth Proportional to 477,509.73, 716,186.73 and 140,471.55

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Solution

The fourth proportional to 477,509.73, 716,186.73 and 140,471.55 is: 210,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,509.73 : 716,186.73 = 140,471.55 : x
  2. Step 2: Convert to fraction form
    477,509.73/716,186.73 = 140,471.55/x
  3. Step 3: Cross multiply
    477,509.73x = 716,186.73 × 140,471.55
  4. Step 4: Simplify right side
    477,509.73x = 100,603,859,789.15
  5. Step 5: Solve for x
    x = 100,603,859,789.15/477,509.73
  6. Step 6: Final answer
    x = 210,684.42

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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.