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Finding the Fourth Proportional to 562,141.32, 843,213.42 and 229,717.32

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Solution

The fourth proportional to 562,141.32, 843,213.42 and 229,717.32 is: 344,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,141.32 : 843,213.42 = 229,717.32 : x
  2. Step 2: Convert to fraction form
    562,141.32/843,213.42 = 229,717.32/x
  3. Step 3: Cross multiply
    562,141.32x = 843,213.42 × 229,717.32
  4. Step 4: Simplify right side
    562,141.32x = 193,700,727,030.43
  5. Step 5: Solve for x
    x = 193,700,727,030.43/562,141.32
  6. Step 6: Final answer
    x = 344,576.57

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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.