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Finding the Fourth Proportional to 377,208.42, 565,871.07 and 177,549.90

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Solution

The fourth proportional to 377,208.42, 565,871.07 and 177,549.90 is: 266,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,208.42 : 565,871.07 = 177,549.90 : x
  2. Step 2: Convert to fraction form
    377,208.42/565,871.07 = 177,549.90/x
  3. Step 3: Cross multiply
    377,208.42x = 565,871.07 × 177,549.90
  4. Step 4: Simplify right side
    377,208.42x = 100,470,351,891.39
  5. Step 5: Solve for x
    x = 100,470,351,891.39/377,208.42
  6. Step 6: Final answer
    x = 266,352.36

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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.