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Finding the Fourth Proportional to 294,898.50, 442,347.78 and 73,282.50

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Solution

The fourth proportional to 294,898.50, 442,347.78 and 73,282.50 is: 109,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,898.50 : 442,347.78 = 73,282.50 : x
  2. Step 2: Convert to fraction form
    294,898.50/442,347.78 = 73,282.50/x
  3. Step 3: Cross multiply
    294,898.50x = 442,347.78 × 73,282.50
  4. Step 4: Simplify right side
    294,898.50x = 32,416,351,187.85
  5. Step 5: Solve for x
    x = 32,416,351,187.85/294,898.50
  6. Step 6: Final answer
    x = 109,923.76

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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.