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Finding the Fourth Proportional to 377,676.66, 565,699.50 and 177,697.38

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Solution

The fourth proportional to 377,676.66, 565,699.50 and 177,697.38 is: 266,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,676.66 : 565,699.50 = 177,697.38 : x
  2. Step 2: Convert to fraction form
    377,676.66/565,699.50 = 177,697.38/x
  3. Step 3: Cross multiply
    377,676.66x = 565,699.50 × 177,697.38
  4. Step 4: Simplify right side
    377,676.66x = 100,523,319,017.31
  5. Step 5: Solve for x
    x = 100,523,319,017.31/377,676.66
  6. Step 6: Final answer
    x = 266,162.38

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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.