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Finding the Fourth Proportional to 506,738.68, 699,288.60 and 277,295.05

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Solution

The fourth proportional to 506,738.68, 699,288.60 and 277,295.05 is: 382,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,738.68 : 699,288.60 = 277,295.05 : x
  2. Step 2: Convert to fraction form
    506,738.68/699,288.60 = 277,295.05/x
  3. Step 3: Cross multiply
    506,738.68x = 699,288.60 × 277,295.05
  4. Step 4: Simplify right side
    506,738.68x = 193,909,267,301.43
  5. Step 5: Solve for x
    x = 193,909,267,301.43/506,738.68
  6. Step 6: Final answer
    x = 382,661.27

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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.