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Finding the Fourth Proportional to 303,874.30, 456,221.85 and 177,643.90

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Solution

The fourth proportional to 303,874.30, 456,221.85 and 177,643.90 is: 266,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,874.30 : 456,221.85 = 177,643.90 : x
  2. Step 2: Convert to fraction form
    303,874.30/456,221.85 = 177,643.90/x
  3. Step 3: Cross multiply
    303,874.30x = 456,221.85 × 177,643.90
  4. Step 4: Simplify right side
    303,874.30x = 81,045,028,699.22
  5. Step 5: Solve for x
    x = 81,045,028,699.22/303,874.30
  6. Step 6: Final answer
    x = 266,705.77

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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.