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Finding the Fourth Proportional to 431,846.20, 595,945.78 and 238,248.64

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Solution

The fourth proportional to 431,846.20, 595,945.78 and 238,248.64 is: 328,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,846.20 : 595,945.78 = 238,248.64 : x
  2. Step 2: Convert to fraction form
    431,846.20/595,945.78 = 238,248.64/x
  3. Step 3: Cross multiply
    431,846.20x = 595,945.78 × 238,248.64
  4. Step 4: Simplify right side
    431,846.20x = 141,983,271,598.74
  5. Step 5: Solve for x
    x = 141,983,271,598.74/431,846.20
  6. Step 6: Final answer
    x = 328,782.03

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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.