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Finding the Fourth Proportional to 445,901.70, 668,443.05 and 193,022.94

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Solution

The fourth proportional to 445,901.70, 668,443.05 and 193,022.94 is: 289,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,901.70 : 668,443.05 = 193,022.94 : x
  2. Step 2: Convert to fraction form
    445,901.70/668,443.05 = 193,022.94/x
  3. Step 3: Cross multiply
    445,901.70x = 668,443.05 × 193,022.94
  4. Step 4: Simplify right side
    445,901.70x = 129,024,842,733.57
  5. Step 5: Solve for x
    x = 129,024,842,733.57/445,901.70
  6. Step 6: Final answer
    x = 289,357.14

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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.