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Finding the Fourth Proportional to 564,306.26, 778,742.22 and 322,594.16

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Solution

The fourth proportional to 564,306.26, 778,742.22 and 322,594.16 is: 445,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,306.26 : 778,742.22 = 322,594.16 : x
  2. Step 2: Convert to fraction form
    564,306.26/778,742.22 = 322,594.16/x
  3. Step 3: Cross multiply
    564,306.26x = 778,742.22 × 322,594.16
  4. Step 4: Simplify right side
    564,306.26x = 251,217,692,317.44
  5. Step 5: Solve for x
    x = 251,217,692,317.44/564,306.26
  6. Step 6: Final answer
    x = 445,179.70

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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.