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Finding the Fourth Proportional to 294,898.56, 442,347.72 and 73,282.56

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Solution

The fourth proportional to 294,898.56, 442,347.72 and 73,282.56 is: 109,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,898.56 : 442,347.72 = 73,282.56 : x
  2. Step 2: Convert to fraction form
    294,898.56/442,347.72 = 73,282.56/x
  3. Step 3: Cross multiply
    294,898.56x = 442,347.72 × 73,282.56
  4. Step 4: Simplify right side
    294,898.56x = 32,416,373,331.76
  5. Step 5: Solve for x
    x = 32,416,373,331.76/294,898.56
  6. Step 6: Final answer
    x = 109,923.81

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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.