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Finding the Fourth Proportional to 461,659.86, 691,924.74 and 262,147.14

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Solution

The fourth proportional to 461,659.86, 691,924.74 and 262,147.14 is: 392,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,659.86 : 691,924.74 = 262,147.14 : x
  2. Step 2: Convert to fraction form
    461,659.86/691,924.74 = 262,147.14/x
  3. Step 3: Cross multiply
    461,659.86x = 691,924.74 × 262,147.14
  4. Step 4: Simplify right side
    461,659.86x = 181,386,091,686.24
  5. Step 5: Solve for x
    x = 181,386,091,686.24/461,659.86
  6. Step 6: Final answer
    x = 392,899.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.