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Finding the Fourth Proportional to 460,231.88, 635,178.31 and 259,066.76

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Solution

The fourth proportional to 460,231.88, 635,178.31 and 259,066.76 is: 357,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,231.88 : 635,178.31 = 259,066.76 : x
  2. Step 2: Convert to fraction form
    460,231.88/635,178.31 = 259,066.76/x
  3. Step 3: Cross multiply
    460,231.88x = 635,178.31 × 259,066.76
  4. Step 4: Simplify right side
    460,231.88x = 164,553,582,970.42
  5. Step 5: Solve for x
    x = 164,553,582,970.42/460,231.88
  6. Step 6: Final answer
    x = 357,544.95

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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.