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Finding the Fourth Proportional to 456,307.77, 684,409.37 and 119,380.94

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Solution

The fourth proportional to 456,307.77, 684,409.37 and 119,380.94 is: 179,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,307.77 : 684,409.37 = 119,380.94 : x
  2. Step 2: Convert to fraction form
    456,307.77/684,409.37 = 119,380.94/x
  3. Step 3: Cross multiply
    456,307.77x = 684,409.37 × 119,380.94
  4. Step 4: Simplify right side
    456,307.77x = 81,705,433,935.41
  5. Step 5: Solve for x
    x = 81,705,433,935.41/456,307.77
  6. Step 6: Final answer
    x = 179,057.73

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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.