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Finding the Fourth Proportional to 472,067.38, 708,201.98 and 152,237.46

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Solution

The fourth proportional to 472,067.38, 708,201.98 and 152,237.46 is: 228,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,067.38 : 708,201.98 = 152,237.46 : x
  2. Step 2: Convert to fraction form
    472,067.38/708,201.98 = 152,237.46/x
  3. Step 3: Cross multiply
    472,067.38x = 708,201.98 × 152,237.46
  4. Step 4: Simplify right side
    472,067.38x = 107,814,870,602.17
  5. Step 5: Solve for x
    x = 107,814,870,602.17/472,067.38
  6. Step 6: Final answer
    x = 228,388.73

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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.