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Finding the Fourth Proportional to 384,994.08, 577,538.64 and 132,325.92

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Solution

The fourth proportional to 384,994.08, 577,538.64 and 132,325.92 is: 198,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,994.08 : 577,538.64 = 132,325.92 : x
  2. Step 2: Convert to fraction form
    384,994.08/577,538.64 = 132,325.92/x
  3. Step 3: Cross multiply
    384,994.08x = 577,538.64 × 132,325.92
  4. Step 4: Simplify right side
    384,994.08x = 76,423,331,873.55
  5. Step 5: Solve for x
    x = 76,423,331,873.55/384,994.08
  6. Step 6: Final answer
    x = 198,505.21

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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.