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Finding the Fourth Proportional to 384,063.64, 576,125.70 and 131,464.60

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Solution

The fourth proportional to 384,063.64, 576,125.70 and 131,464.60 is: 197,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,063.64 : 576,125.70 = 131,464.60 : x
  2. Step 2: Convert to fraction form
    384,063.64/576,125.70 = 131,464.60/x
  3. Step 3: Cross multiply
    384,063.64x = 576,125.70 × 131,464.60
  4. Step 4: Simplify right side
    384,063.64x = 75,740,134,700.22
  5. Step 5: Solve for x
    x = 75,740,134,700.22/384,063.64
  6. Step 6: Final answer
    x = 197,207.25

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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.