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Finding the Fourth Proportional to 429,859.36, 593,201.64 and 238,868.74

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Solution

The fourth proportional to 429,859.36, 593,201.64 and 238,868.74 is: 329,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,859.36 : 593,201.64 = 238,868.74 : x
  2. Step 2: Convert to fraction form
    429,859.36/593,201.64 = 238,868.74/x
  3. Step 3: Cross multiply
    429,859.36x = 593,201.64 × 238,868.74
  4. Step 4: Simplify right side
    429,859.36x = 141,697,328,312.73
  5. Step 5: Solve for x
    x = 141,697,328,312.73/429,859.36
  6. Step 6: Final answer
    x = 329,636.48

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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.