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Finding the Fourth Proportional to 377,359.80, 565,279.86 and 174,670.20

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Solution

The fourth proportional to 377,359.80, 565,279.86 and 174,670.20 is: 261,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,359.80 : 565,279.86 = 174,670.20 : x
  2. Step 2: Convert to fraction form
    377,359.80/565,279.86 = 174,670.20/x
  3. Step 3: Cross multiply
    377,359.80x = 565,279.86 × 174,670.20
  4. Step 4: Simplify right side
    377,359.80x = 98,737,546,202.17
  5. Step 5: Solve for x
    x = 98,737,546,202.17/377,359.80
  6. Step 6: Final answer
    x = 261,653.59

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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.