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Finding the Fourth Proportional to 429,811, 593,127.46 and 238,819.48

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Solution

The fourth proportional to 429,811, 593,127.46 and 238,819.48 is: 329,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,811 : 593,127.46 = 238,819.48 : x
  2. Step 2: Convert to fraction form
    429,811/593,127.46 = 238,819.48/x
  3. Step 3: Cross multiply
    429,811x = 593,127.46 × 238,819.48
  4. Step 4: Simplify right side
    429,811x = 141,650,391,570.92
  5. Step 5: Solve for x
    x = 141,650,391,570.92/429,811
  6. Step 6: Final answer
    x = 329,564.37

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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.