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Finding the Fourth Proportional to 277,968.38, 383,784.67 and 176,084.25

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Solution

The fourth proportional to 277,968.38, 383,784.67 and 176,084.25 is: 243,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,968.38 : 383,784.67 = 176,084.25 : x
  2. Step 2: Convert to fraction form
    277,968.38/383,784.67 = 176,084.25/x
  3. Step 3: Cross multiply
    277,968.38x = 383,784.67 × 176,084.25
  4. Step 4: Simplify right side
    277,968.38x = 67,578,437,549.93
  5. Step 5: Solve for x
    x = 67,578,437,549.93/277,968.38
  6. Step 6: Final answer
    x = 243,115.55

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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.