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Finding the Fourth Proportional to 442,896.81, 664,023.37 and 176,577.45

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Solution

The fourth proportional to 442,896.81, 664,023.37 and 176,577.45 is: 264,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.81 : 664,023.37 = 176,577.45 : x
  2. Step 2: Convert to fraction form
    442,896.81/664,023.37 = 176,577.45/x
  3. Step 3: Cross multiply
    442,896.81x = 664,023.37 × 176,577.45
  4. Step 4: Simplify right side
    442,896.81x = 117,251,553,415.01
  5. Step 5: Solve for x
    x = 117,251,553,415.01/442,896.81
  6. Step 6: Final answer
    x = 264,737.86

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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.