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Finding the Fourth Proportional to 277,502.19, 382,830.81 and 162,722.56

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Solution

The fourth proportional to 277,502.19, 382,830.81 and 162,722.56 is: 224,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.19 : 382,830.81 = 162,722.56 : x
  2. Step 2: Convert to fraction form
    277,502.19/382,830.81 = 162,722.56/x
  3. Step 3: Cross multiply
    277,502.19x = 382,830.81 × 162,722.56
  4. Step 4: Simplify right side
    277,502.19x = 62,295,207,535.92
  5. Step 5: Solve for x
    x = 62,295,207,535.92/277,502.19
  6. Step 6: Final answer
    x = 224,485.47

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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.