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Finding the Fourth Proportional to 564,172.32, 846,337.50 and 164,842.32

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Solution

The fourth proportional to 564,172.32, 846,337.50 and 164,842.32 is: 247,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,172.32 : 846,337.50 = 164,842.32 : x
  2. Step 2: Convert to fraction form
    564,172.32/846,337.50 = 164,842.32/x
  3. Step 3: Cross multiply
    564,172.32x = 846,337.50 × 164,842.32
  4. Step 4: Simplify right side
    564,172.32x = 139,512,237,003
  5. Step 5: Solve for x
    x = 139,512,237,003/564,172.32
  6. Step 6: Final answer
    x = 247,286.57

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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.