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Finding the Fourth Proportional to 312,398.46, 468,603.45 and 112,733.82

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Solution

The fourth proportional to 312,398.46, 468,603.45 and 112,733.82 is: 169,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,398.46 : 468,603.45 = 112,733.82 : x
  2. Step 2: Convert to fraction form
    312,398.46/468,603.45 = 112,733.82/x
  3. Step 3: Cross multiply
    312,398.46x = 468,603.45 × 112,733.82
  4. Step 4: Simplify right side
    312,398.46x = 52,827,456,983.68
  5. Step 5: Solve for x
    x = 52,827,456,983.68/312,398.46
  6. Step 6: Final answer
    x = 169,102.81

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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.