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Finding the Fourth Proportional to 294,034.50, 405,770.86 and 159,898.50

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Solution

The fourth proportional to 294,034.50, 405,770.86 and 159,898.50 is: 220,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,034.50 : 405,770.86 = 159,898.50 : x
  2. Step 2: Convert to fraction form
    294,034.50/405,770.86 = 159,898.50/x
  3. Step 3: Cross multiply
    294,034.50x = 405,770.86 × 159,898.50
  4. Step 4: Simplify right side
    294,034.50x = 64,882,151,857.71
  5. Step 5: Solve for x
    x = 64,882,151,857.71/294,034.50
  6. Step 6: Final answer
    x = 220,661.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.