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Finding the Fourth Proportional to 586,092.12, 879,270.78 and 186,755.64

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Solution

The fourth proportional to 586,092.12, 879,270.78 and 186,755.64 is: 280,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,092.12 : 879,270.78 = 186,755.64 : x
  2. Step 2: Convert to fraction form
    586,092.12/879,270.78 = 186,755.64/x
  3. Step 3: Cross multiply
    586,092.12x = 879,270.78 × 186,755.64
  4. Step 4: Simplify right side
    586,092.12x = 164,208,777,252.20
  5. Step 5: Solve for x
    x = 164,208,777,252.20/586,092.12
  6. Step 6: Final answer
    x = 280,175.71

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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.