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Finding the Fourth Proportional to 339,785.96, 468,905.82 and 186,833.76

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Solution

The fourth proportional to 339,785.96, 468,905.82 and 186,833.76 is: 257,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,785.96 : 468,905.82 = 186,833.76 : x
  2. Step 2: Convert to fraction form
    339,785.96/468,905.82 = 186,833.76/x
  3. Step 3: Cross multiply
    339,785.96x = 468,905.82 × 186,833.76
  4. Step 4: Simplify right side
    339,785.96x = 87,607,438,665.99
  5. Step 5: Solve for x
    x = 87,607,438,665.99/339,785.96
  6. Step 6: Final answer
    x = 257,831.25

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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.