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Finding the Fourth Proportional to 303,873.80, 456,221.10 and 177,643.40

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Solution

The fourth proportional to 303,873.80, 456,221.10 and 177,643.40 is: 266,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,873.80 : 456,221.10 = 177,643.40 : x
  2. Step 2: Convert to fraction form
    303,873.80/456,221.10 = 177,643.40/x
  3. Step 3: Cross multiply
    303,873.80x = 456,221.10 × 177,643.40
  4. Step 4: Simplify right side
    303,873.80x = 81,044,667,355.74
  5. Step 5: Solve for x
    x = 81,044,667,355.74/303,873.80
  6. Step 6: Final answer
    x = 266,705.02

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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.