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Finding the Fourth Proportional to 418,235.21, 627,000.14 and 181,399.51

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Solution

The fourth proportional to 418,235.21, 627,000.14 and 181,399.51 is: 271,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,235.21 : 627,000.14 = 181,399.51 : x
  2. Step 2: Convert to fraction form
    418,235.21/627,000.14 = 181,399.51/x
  3. Step 3: Cross multiply
    418,235.21x = 627,000.14 × 181,399.51
  4. Step 4: Simplify right side
    418,235.21x = 113,737,518,165.93
  5. Step 5: Solve for x
    x = 113,737,518,165.93/418,235.21
  6. Step 6: Final answer
    x = 271,946.30

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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.