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Finding the Fourth Proportional to 564,355.20, 846,612.22 and 165,026

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Solution

The fourth proportional to 564,355.20, 846,612.22 and 165,026 is: 247,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,355.20 : 846,612.22 = 165,026 : x
  2. Step 2: Convert to fraction form
    564,355.20/846,612.22 = 165,026/x
  3. Step 3: Cross multiply
    564,355.20x = 846,612.22 × 165,026
  4. Step 4: Simplify right side
    564,355.20x = 139,713,028,217.72
  5. Step 5: Solve for x
    x = 139,713,028,217.72/564,355.20
  6. Step 6: Final answer
    x = 247,562.22

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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.