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Finding the Fourth Proportional to 384,808.20, 577,503.90 and 251,644.20

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Solution

The fourth proportional to 384,808.20, 577,503.90 and 251,644.20 is: 377,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,808.20 : 577,503.90 = 251,644.20 : x
  2. Step 2: Convert to fraction form
    384,808.20/577,503.90 = 251,644.20/x
  3. Step 3: Cross multiply
    384,808.20x = 577,503.90 × 251,644.20
  4. Step 4: Simplify right side
    384,808.20x = 145,325,506,912.38
  5. Step 5: Solve for x
    x = 145,325,506,912.38/384,808.20
  6. Step 6: Final answer
    x = 377,656.99

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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.