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Finding the Fourth Proportional to 564,119.73, 778,505.49 and 309,478.41

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Solution

The fourth proportional to 564,119.73, 778,505.49 and 309,478.41 is: 427,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,119.73 : 778,505.49 = 309,478.41 : x
  2. Step 2: Convert to fraction form
    564,119.73/778,505.49 = 309,478.41/x
  3. Step 3: Cross multiply
    564,119.73x = 778,505.49 × 309,478.41
  4. Step 4: Simplify right side
    564,119.73x = 240,930,641,221.47
  5. Step 5: Solve for x
    x = 240,930,641,221.47/564,119.73
  6. Step 6: Final answer
    x = 427,091.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.