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Finding the Fourth Proportional to 377,241.08, 565,853.42 and 177,450.74

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Solution

The fourth proportional to 377,241.08, 565,853.42 and 177,450.74 is: 266,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,241.08 : 565,853.42 = 177,450.74 : x
  2. Step 2: Convert to fraction form
    377,241.08/565,853.42 = 177,450.74/x
  3. Step 3: Cross multiply
    377,241.08x = 565,853.42 × 177,450.74
  4. Step 4: Simplify right side
    377,241.08x = 100,411,105,724.89
  5. Step 5: Solve for x
    x = 100,411,105,724.89/377,241.08
  6. Step 6: Final answer
    x = 266,172.24

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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.