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Finding the Fourth Proportional to 429,825.92, 593,133.72 and 238,832.78

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Solution

The fourth proportional to 429,825.92, 593,133.72 and 238,832.78 is: 329,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,825.92 : 593,133.72 = 238,832.78 : x
  2. Step 2: Convert to fraction form
    429,825.92/593,133.72 = 238,832.78/x
  3. Step 3: Cross multiply
    429,825.92x = 593,133.72 × 238,832.78
  4. Step 4: Simplify right side
    429,825.92x = 141,659,775,259.34
  5. Step 5: Solve for x
    x = 141,659,775,259.34/429,825.92
  6. Step 6: Final answer
    x = 329,574.76

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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.