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Finding the Fourth Proportional to 564,098.08, 846,226.32 and 164,768.16

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Solution

The fourth proportional to 564,098.08, 846,226.32 and 164,768.16 is: 247,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,098.08 : 846,226.32 = 164,768.16 : x
  2. Step 2: Convert to fraction form
    564,098.08/846,226.32 = 164,768.16/x
  3. Step 3: Cross multiply
    564,098.08x = 846,226.32 × 164,768.16
  4. Step 4: Simplify right side
    564,098.08x = 139,431,153,689.97
  5. Step 5: Solve for x
    x = 139,431,153,689.97/564,098.08
  6. Step 6: Final answer
    x = 247,175.37

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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.