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Finding the Fourth Proportional to 532,406.31, 796,183.75 and 397,565.07

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Solution

The fourth proportional to 532,406.31, 796,183.75 and 397,565.07 is: 594,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,406.31 : 796,183.75 = 397,565.07 : x
  2. Step 2: Convert to fraction form
    532,406.31/796,183.75 = 397,565.07/x
  3. Step 3: Cross multiply
    532,406.31x = 796,183.75 × 397,565.07
  4. Step 4: Simplify right side
    532,406.31x = 316,534,848,301.61
  5. Step 5: Solve for x
    x = 316,534,848,301.61/532,406.31
  6. Step 6: Final answer
    x = 594,536.24

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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.