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Finding the Fourth Proportional to 431,924.56, 596,018.60 and 278,969.52

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Solution

The fourth proportional to 431,924.56, 596,018.60 and 278,969.52 is: 384,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,924.56 : 596,018.60 = 278,969.52 : x
  2. Step 2: Convert to fraction form
    431,924.56/596,018.60 = 278,969.52/x
  3. Step 3: Cross multiply
    431,924.56x = 596,018.60 × 278,969.52
  4. Step 4: Simplify right side
    431,924.56x = 166,271,022,753.07
  5. Step 5: Solve for x
    x = 166,271,022,753.07/431,924.56
  6. Step 6: Final answer
    x = 384,953.85

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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.