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Finding the Fourth Proportional to 506,678.20, 699,224.81 and 277,255.59

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Solution

The fourth proportional to 506,678.20, 699,224.81 and 277,255.59 is: 382,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,678.20 : 699,224.81 = 277,255.59 : x
  2. Step 2: Convert to fraction form
    506,678.20/699,224.81 = 277,255.59/x
  3. Step 3: Cross multiply
    506,678.20x = 699,224.81 × 277,255.59
  4. Step 4: Simplify right side
    506,678.20x = 193,863,983,230.82
  5. Step 5: Solve for x
    x = 193,863,983,230.82/506,678.20
  6. Step 6: Final answer
    x = 382,617.57

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1.5x scale

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.