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Finding the Fourth Proportional to 546,960.64, 820,537.26 and 187,046.86

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Solution

The fourth proportional to 546,960.64, 820,537.26 and 187,046.86 is: 280,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,960.64 : 820,537.26 = 187,046.86 : x
  2. Step 2: Convert to fraction form
    546,960.64/820,537.26 = 187,046.86/x
  3. Step 3: Cross multiply
    546,960.64x = 820,537.26 × 187,046.86
  4. Step 4: Simplify right side
    546,960.64x = 153,478,917,996.00
  5. Step 5: Solve for x
    x = 153,478,917,996.00/546,960.64
  6. Step 6: Final answer
    x = 280,603.22

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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.