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Finding the Fourth Proportional to 400,248.81, 600,373.22 and 189,771.93

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Solution

The fourth proportional to 400,248.81, 600,373.22 and 189,771.93 is: 284,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,248.81 : 600,373.22 = 189,771.93 : x
  2. Step 2: Convert to fraction form
    400,248.81/600,373.22 = 189,771.93/x
  3. Step 3: Cross multiply
    400,248.81x = 600,373.22 × 189,771.93
  4. Step 4: Simplify right side
    400,248.81x = 113,933,983,730.86
  5. Step 5: Solve for x
    x = 113,933,983,730.86/400,248.81
  6. Step 6: Final answer
    x = 284,657.90

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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.