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Finding the Fourth Proportional to 277,458.17, 382,874.20 and 156,583.01

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Solution

The fourth proportional to 277,458.17, 382,874.20 and 156,583.01 is: 216,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,458.17 : 382,874.20 = 156,583.01 : x
  2. Step 2: Convert to fraction form
    277,458.17/382,874.20 = 156,583.01/x
  3. Step 3: Cross multiply
    277,458.17x = 382,874.20 × 156,583.01
  4. Step 4: Simplify right side
    277,458.17x = 59,951,595,253.07
  5. Step 5: Solve for x
    x = 59,951,595,253.07/277,458.17
  6. Step 6: Final answer
    x = 216,074.36

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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.