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Finding the Fourth Proportional to 564,111.73, 778,494.41 and 309,470.41

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Solution

The fourth proportional to 564,111.73, 778,494.41 and 309,470.41 is: 427,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,111.73 : 778,494.41 = 309,470.41 : x
  2. Step 2: Convert to fraction form
    564,111.73/778,494.41 = 309,470.41/x
  3. Step 3: Cross multiply
    564,111.73x = 778,494.41 × 309,470.41
  4. Step 4: Simplify right side
    564,111.73x = 240,920,984,245.41
  5. Step 5: Solve for x
    x = 240,920,984,245.41/564,111.73
  6. Step 6: Final answer
    x = 427,080.26

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Why These Related Problems?

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