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Finding the Fourth Proportional to 384,904.53, 577,380.42 and 148,247.91

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Solution

The fourth proportional to 384,904.53, 577,380.42 and 148,247.91 is: 222,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,904.53 : 577,380.42 = 148,247.91 : x
  2. Step 2: Convert to fraction form
    384,904.53/577,380.42 = 148,247.91/x
  3. Step 3: Cross multiply
    384,904.53x = 577,380.42 × 148,247.91
  4. Step 4: Simplify right side
    384,904.53x = 85,595,440,539.92
  5. Step 5: Solve for x
    x = 85,595,440,539.92/384,904.53
  6. Step 6: Final answer
    x = 222,380.96

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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.