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Finding the Fourth Proportional to 277,054, 382,334.61 and 157,822

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Solution

The fourth proportional to 277,054, 382,334.61 and 157,822 is: 217,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,054 : 382,334.61 = 157,822 : x
  2. Step 2: Convert to fraction form
    277,054/382,334.61 = 157,822/x
  3. Step 3: Cross multiply
    277,054x = 382,334.61 × 157,822
  4. Step 4: Simplify right side
    277,054x = 60,340,812,819.42
  5. Step 5: Solve for x
    x = 60,340,812,819.42/277,054
  6. Step 6: Final answer
    x = 217,794.41

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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.