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Finding the Fourth Proportional to 286,330.32, 395,193.87 and 165,476.70

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Solution

The fourth proportional to 286,330.32, 395,193.87 and 165,476.70 is: 228,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,330.32 : 395,193.87 = 165,476.70 : x
  2. Step 2: Convert to fraction form
    286,330.32/395,193.87 = 165,476.70/x
  3. Step 3: Cross multiply
    286,330.32x = 395,193.87 × 165,476.70
  4. Step 4: Simplify right side
    286,330.32x = 65,395,377,467.83
  5. Step 5: Solve for x
    x = 65,395,377,467.83/286,330.32
  6. Step 6: Final answer
    x = 228,391.38

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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.