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Finding the Fourth Proportional to 277,319.94, 382,706.57 and 162,680.81

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Solution

The fourth proportional to 277,319.94, 382,706.57 and 162,680.81 is: 224,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,319.94 : 382,706.57 = 162,680.81 : x
  2. Step 2: Convert to fraction form
    277,319.94/382,706.57 = 162,680.81/x
  3. Step 3: Cross multiply
    277,319.94x = 382,706.57 × 162,680.81
  4. Step 4: Simplify right side
    277,319.94x = 62,259,012,072.98
  5. Step 5: Solve for x
    x = 62,259,012,072.98/277,319.94
  6. Step 6: Final answer
    x = 224,502.47

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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.