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Finding the Fourth Proportional to 429,865.38, 593,228.61 and 238,886.82

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Solution

The fourth proportional to 429,865.38, 593,228.61 and 238,886.82 is: 329,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,865.38 : 593,228.61 = 238,886.82 : x
  2. Step 2: Convert to fraction form
    429,865.38/593,228.61 = 238,886.82/x
  3. Step 3: Cross multiply
    429,865.38x = 593,228.61 × 238,886.82
  4. Step 4: Simplify right side
    429,865.38x = 141,714,496,175.92
  5. Step 5: Solve for x
    x = 141,714,496,175.92/429,865.38
  6. Step 6: Final answer
    x = 329,671.81

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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.