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Finding the Fourth Proportional to 564,228.82, 846,397.77 and 164,860.48

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Solution

The fourth proportional to 564,228.82, 846,397.77 and 164,860.48 is: 247,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,228.82 : 846,397.77 = 164,860.48 : x
  2. Step 2: Convert to fraction form
    564,228.82/846,397.77 = 164,860.48/x
  3. Step 3: Cross multiply
    564,228.82x = 846,397.77 × 164,860.48
  4. Step 4: Simplify right side
    564,228.82x = 139,537,542,633.13
  5. Step 5: Solve for x
    x = 139,537,542,633.13/564,228.82
  6. Step 6: Final answer
    x = 247,306.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.