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Finding the Fourth Proportional to 377,006.42, 564,745.80 and 174,314.46

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Solution

The fourth proportional to 377,006.42, 564,745.80 and 174,314.46 is: 261,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,006.42 : 564,745.80 = 174,314.46 : x
  2. Step 2: Convert to fraction form
    377,006.42/564,745.80 = 174,314.46/x
  3. Step 3: Cross multiply
    377,006.42x = 564,745.80 × 174,314.46
  4. Step 4: Simplify right side
    377,006.42x = 98,443,359,164.27
  5. Step 5: Solve for x
    x = 98,443,359,164.27/377,006.42
  6. Step 6: Final answer
    x = 261,118.52

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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.