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Finding the Fourth Proportional to 564,171.32, 846,336 and 164,841.32

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Solution

The fourth proportional to 564,171.32, 846,336 and 164,841.32 is: 247,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,171.32 : 846,336 = 164,841.32 : x
  2. Step 2: Convert to fraction form
    564,171.32/846,336 = 164,841.32/x
  3. Step 3: Cross multiply
    564,171.32x = 846,336 × 164,841.32
  4. Step 4: Simplify right side
    564,171.32x = 139,511,143,403.52
  5. Step 5: Solve for x
    x = 139,511,143,403.52/564,171.32
  6. Step 6: Final answer
    x = 247,285.07

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