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Finding the Fourth Proportional to 377,662.84, 566,613.33 and 177,975.16

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Solution

The fourth proportional to 377,662.84, 566,613.33 and 177,975.16 is: 267,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,662.84 : 566,613.33 = 177,975.16 : x
  2. Step 2: Convert to fraction form
    377,662.84/566,613.33 = 177,975.16/x
  3. Step 3: Cross multiply
    377,662.84x = 566,613.33 × 177,975.16
  4. Step 4: Simplify right side
    377,662.84x = 100,843,098,064.88
  5. Step 5: Solve for x
    x = 100,843,098,064.88/377,662.84
  6. Step 6: Final answer
    x = 267,018.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.