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Finding the Fourth Proportional to 377,677.89, 566,239.41 and 177,885.72

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Solution

The fourth proportional to 377,677.89, 566,239.41 and 177,885.72 is: 266,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,677.89 : 566,239.41 = 177,885.72 : x
  2. Step 2: Convert to fraction form
    377,677.89/566,239.41 = 177,885.72/x
  3. Step 3: Cross multiply
    377,677.89x = 566,239.41 × 177,885.72
  4. Step 4: Simplify right side
    377,677.89x = 100,725,905,140.23
  5. Step 5: Solve for x
    x = 100,725,905,140.23/377,677.89
  6. Step 6: Final answer
    x = 266,697.91

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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.