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Finding the Fourth Proportional to 313,056.78, 469,603.83 and 120,932.70

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Solution

The fourth proportional to 313,056.78, 469,603.83 and 120,932.70 is: 181,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,056.78 : 469,603.83 = 120,932.70 : x
  2. Step 2: Convert to fraction form
    313,056.78/469,603.83 = 120,932.70/x
  3. Step 3: Cross multiply
    313,056.78x = 469,603.83 × 120,932.70
  4. Step 4: Simplify right side
    313,056.78x = 56,790,459,092.24
  5. Step 5: Solve for x
    x = 56,790,459,092.24/313,056.78
  6. Step 6: Final answer
    x = 181,406.26

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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.