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Finding the Fourth Proportional to 316,796.54, 475,265.74 and 106,428.74

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Solution

The fourth proportional to 316,796.54, 475,265.74 and 106,428.74 is: 159,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,796.54 : 475,265.74 = 106,428.74 : x
  2. Step 2: Convert to fraction form
    316,796.54/475,265.74 = 106,428.74/x
  3. Step 3: Cross multiply
    316,796.54x = 475,265.74 × 106,428.74
  4. Step 4: Simplify right side
    316,796.54x = 50,581,933,873.37
  5. Step 5: Solve for x
    x = 50,581,933,873.37/316,796.54
  6. Step 6: Final answer
    x = 159,666.94

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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.