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Finding the Fourth Proportional to 541,089.77, 810,261.63 and 324,813.92

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Solution

The fourth proportional to 541,089.77, 810,261.63 and 324,813.92 is: 486,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,089.77 : 810,261.63 = 324,813.92 : x
  2. Step 2: Convert to fraction form
    541,089.77/810,261.63 = 324,813.92/x
  3. Step 3: Cross multiply
    541,089.77x = 810,261.63 × 324,813.92
  4. Step 4: Simplify right side
    541,089.77x = 263,184,259,051.16
  5. Step 5: Solve for x
    x = 263,184,259,051.16/541,089.77
  6. Step 6: Final answer
    x = 486,396.66

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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.