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Finding the Fourth Proportional to 277,343.38, 382,733.94 and 156,510.28

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Solution

The fourth proportional to 277,343.38, 382,733.94 and 156,510.28 is: 215,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,343.38 : 382,733.94 = 156,510.28 : x
  2. Step 2: Convert to fraction form
    277,343.38/382,733.94 = 156,510.28/x
  3. Step 3: Cross multiply
    277,343.38x = 382,733.94 × 156,510.28
  4. Step 4: Simplify right side
    277,343.38x = 59,901,796,114.90
  5. Step 5: Solve for x
    x = 59,901,796,114.90/277,343.38
  6. Step 6: Final answer
    x = 215,984.23

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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.