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Finding the Fourth Proportional to 413,230.28, 620,084.77 and 173,322.86

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Solution

The fourth proportional to 413,230.28, 620,084.77 and 173,322.86 is: 260,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,230.28 : 620,084.77 = 173,322.86 : x
  2. Step 2: Convert to fraction form
    413,230.28/620,084.77 = 173,322.86/x
  3. Step 3: Cross multiply
    413,230.28x = 620,084.77 × 173,322.86
  4. Step 4: Simplify right side
    413,230.28x = 107,474,862,245.11
  5. Step 5: Solve for x
    x = 107,474,862,245.11/413,230.28
  6. Step 6: Final answer
    x = 260,084.68

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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.