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Finding the Fourth Proportional to 506,722.95, 699,286.53 and 277,300.59

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Solution

The fourth proportional to 506,722.95, 699,286.53 and 277,300.59 is: 382,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,722.95 : 699,286.53 = 277,300.59 : x
  2. Step 2: Convert to fraction form
    506,722.95/699,286.53 = 277,300.59/x
  3. Step 3: Cross multiply
    506,722.95x = 699,286.53 × 277,300.59
  4. Step 4: Simplify right side
    506,722.95x = 193,912,567,348.05
  5. Step 5: Solve for x
    x = 193,912,567,348.05/506,722.95
  6. Step 6: Final answer
    x = 382,679.66

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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.