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Finding the Fourth Proportional to 403,769.80, 604,974.30 and 319,205.80

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Solution

The fourth proportional to 403,769.80, 604,974.30 and 319,205.80 is: 478,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,769.80 : 604,974.30 = 319,205.80 : x
  2. Step 2: Convert to fraction form
    403,769.80/604,974.30 = 319,205.80/x
  3. Step 3: Cross multiply
    403,769.80x = 604,974.30 × 319,205.80
  4. Step 4: Simplify right side
    403,769.80x = 193,111,305,410.94
  5. Step 5: Solve for x
    x = 193,111,305,410.94/403,769.80
  6. Step 6: Final answer
    x = 478,270.80

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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.