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Finding the Fourth Proportional to 507,169.17, 699,894.60 and 277,741.47

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Solution

The fourth proportional to 507,169.17, 699,894.60 and 277,741.47 is: 383,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,169.17 : 699,894.60 = 277,741.47 : x
  2. Step 2: Convert to fraction form
    507,169.17/699,894.60 = 277,741.47/x
  3. Step 3: Cross multiply
    507,169.17x = 699,894.60 × 277,741.47
  4. Step 4: Simplify right side
    507,169.17x = 194,389,755,049.06
  5. Step 5: Solve for x
    x = 194,389,755,049.06/507,169.17
  6. Step 6: Final answer
    x = 383,283.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.