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Finding the Fourth Proportional to 294,679.96, 442,329.14 and 261,160.43

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Solution

The fourth proportional to 294,679.96, 442,329.14 and 261,160.43 is: 392,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,679.96 : 442,329.14 = 261,160.43 : x
  2. Step 2: Convert to fraction form
    294,679.96/442,329.14 = 261,160.43/x
  3. Step 3: Cross multiply
    294,679.96x = 442,329.14 × 261,160.43
  4. Step 4: Simplify right side
    294,679.96x = 115,518,866,845.19
  5. Step 5: Solve for x
    x = 115,518,866,845.19/294,679.96
  6. Step 6: Final answer
    x = 392,014.67

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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.