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Finding the Fourth Proportional to 564,169.32, 846,333 and 164,839.32

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Solution

The fourth proportional to 564,169.32, 846,333 and 164,839.32 is: 247,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,169.32 : 846,333 = 164,839.32 : x
  2. Step 2: Convert to fraction form
    564,169.32/846,333 = 164,839.32/x
  3. Step 3: Cross multiply
    564,169.32x = 846,333 × 164,839.32
  4. Step 4: Simplify right side
    564,169.32x = 139,508,956,213.56
  5. Step 5: Solve for x
    x = 139,508,956,213.56/564,169.32
  6. Step 6: Final answer
    x = 247,282.07

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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.