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Finding the Fourth Proportional to 294,945.92, 442,023.68 and 276,050.56

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Solution

The fourth proportional to 294,945.92, 442,023.68 and 276,050.56 is: 413,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,945.92 : 442,023.68 = 276,050.56 : x
  2. Step 2: Convert to fraction form
    294,945.92/442,023.68 = 276,050.56/x
  3. Step 3: Cross multiply
    294,945.92x = 442,023.68 × 276,050.56
  4. Step 4: Simplify right side
    294,945.92x = 122,020,884,397.26
  5. Step 5: Solve for x
    x = 122,020,884,397.26/294,945.92
  6. Step 6: Final answer
    x = 413,705.96

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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.