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Finding the Fourth Proportional to 477,879.77, 716,835.18 and 140,892.17

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Solution

The fourth proportional to 477,879.77, 716,835.18 and 140,892.17 is: 211,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,879.77 : 716,835.18 = 140,892.17 : x
  2. Step 2: Convert to fraction form
    477,879.77/716,835.18 = 140,892.17/x
  3. Step 3: Cross multiply
    477,879.77x = 716,835.18 × 140,892.17
  4. Step 4: Simplify right side
    477,879.77x = 100,996,464,042.54
  5. Step 5: Solve for x
    x = 100,996,464,042.54/477,879.77
  6. Step 6: Final answer
    x = 211,342.83

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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.