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Finding the Fourth Proportional to 384,758.16, 577,199.27 and 118,518.42

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Solution

The fourth proportional to 384,758.16, 577,199.27 and 118,518.42 is: 177,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,758.16 : 577,199.27 = 118,518.42 : x
  2. Step 2: Convert to fraction form
    384,758.16/577,199.27 = 118,518.42/x
  3. Step 3: Cross multiply
    384,758.16x = 577,199.27 × 118,518.42
  4. Step 4: Simplify right side
    384,758.16x = 68,408,745,505.55
  5. Step 5: Solve for x
    x = 68,408,745,505.55/384,758.16
  6. Step 6: Final answer
    x = 177,796.74

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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.