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Finding the Fourth Proportional to 377,356.56, 565,853.94 and 177,508.32

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Solution

The fourth proportional to 377,356.56, 565,853.94 and 177,508.32 is: 266,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,356.56 : 565,853.94 = 177,508.32 : x
  2. Step 2: Convert to fraction form
    377,356.56/565,853.94 = 177,508.32/x
  3. Step 3: Cross multiply
    377,356.56x = 565,853.94 × 177,508.32
  4. Step 4: Simplify right side
    377,356.56x = 100,443,782,254.78
  5. Step 5: Solve for x
    x = 100,443,782,254.78/377,356.56
  6. Step 6: Final answer
    x = 266,177.38

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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.