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Finding the Fourth Proportional to 277,957.74, 383,622.81 and 175,992.66

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Solution

The fourth proportional to 277,957.74, 383,622.81 and 175,992.66 is: 242,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,957.74 : 383,622.81 = 175,992.66 : x
  2. Step 2: Convert to fraction form
    277,957.74/383,622.81 = 175,992.66/x
  3. Step 3: Cross multiply
    277,957.74x = 383,622.81 × 175,992.66
  4. Step 4: Simplify right side
    277,957.74x = 67,514,797,809.52
  5. Step 5: Solve for x
    x = 67,514,797,809.52/277,957.74
  6. Step 6: Final answer
    x = 242,895.91

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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.