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Finding the Fourth Proportional to 277,619.20, 416,428.80 and 119,737.60

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Solution

The fourth proportional to 277,619.20, 416,428.80 and 119,737.60 is: 179,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,619.20 : 416,428.80 = 119,737.60 : x
  2. Step 2: Convert to fraction form
    277,619.20/416,428.80 = 119,737.60/x
  3. Step 3: Cross multiply
    277,619.20x = 416,428.80 × 119,737.60
  4. Step 4: Simplify right side
    277,619.20x = 49,862,185,082.88
  5. Step 5: Solve for x
    x = 49,862,185,082.88/277,619.20
  6. Step 6: Final answer
    x = 179,606.40

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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.