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Finding the Fourth Proportional to 564,150.68, 778,596.78 and 322,443.44

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Solution

The fourth proportional to 564,150.68, 778,596.78 and 322,443.44 is: 445,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,150.68 : 778,596.78 = 322,443.44 : x
  2. Step 2: Convert to fraction form
    564,150.68/778,596.78 = 322,443.44/x
  3. Step 3: Cross multiply
    564,150.68x = 778,596.78 × 322,443.44
  4. Step 4: Simplify right side
    564,150.68x = 251,053,424,116.12
  5. Step 5: Solve for x
    x = 251,053,424,116.12/564,150.68
  6. Step 6: Final answer
    x = 445,011.29

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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.