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Finding the Fourth Proportional to 356,859.13, 492,464.61 and 203,944.77

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Solution

The fourth proportional to 356,859.13, 492,464.61 and 203,944.77 is: 281,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859.13 : 492,464.61 = 203,944.77 : x
  2. Step 2: Convert to fraction form
    356,859.13/492,464.61 = 203,944.77/x
  3. Step 3: Cross multiply
    356,859.13x = 492,464.61 × 203,944.77
  4. Step 4: Simplify right side
    356,859.13x = 100,435,583,697.18
  5. Step 5: Solve for x
    x = 100,435,583,697.18/356,859.13
  6. Step 6: Final answer
    x = 281,443.22

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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.