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Finding the Fourth Proportional to 294,707.76, 442,059.81 and 84,346.30

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Solution

The fourth proportional to 294,707.76, 442,059.81 and 84,346.30 is: 126,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,707.76 : 442,059.81 = 84,346.30 : x
  2. Step 2: Convert to fraction form
    294,707.76/442,059.81 = 84,346.30/x
  3. Step 3: Cross multiply
    294,707.76x = 442,059.81 × 84,346.30
  4. Step 4: Simplify right side
    294,707.76x = 37,286,109,352.20
  5. Step 5: Solve for x
    x = 37,286,109,352.20/294,707.76
  6. Step 6: Final answer
    x = 126,518.93

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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.