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Finding the Fourth Proportional to 564,459.81, 778,913.87 and 322,752.57

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Solution

The fourth proportional to 564,459.81, 778,913.87 and 322,752.57 is: 445,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,459.81 : 778,913.87 = 322,752.57 : x
  2. Step 2: Convert to fraction form
    564,459.81/778,913.87 = 322,752.57/x
  3. Step 3: Cross multiply
    564,459.81x = 778,913.87 × 322,752.57
  4. Step 4: Simplify right side
    564,459.81x = 251,396,451,737.38
  5. Step 5: Solve for x
    x = 251,396,451,737.38/564,459.81
  6. Step 6: Final answer
    x = 445,375.29

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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.