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Finding the Fourth Proportional to 562,274.10, 843,454.89 and 162,920.61

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Solution

The fourth proportional to 562,274.10, 843,454.89 and 162,920.61 is: 244,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,274.10 : 843,454.89 = 162,920.61 : x
  2. Step 2: Convert to fraction form
    562,274.10/843,454.89 = 162,920.61/x
  3. Step 3: Cross multiply
    562,274.10x = 843,454.89 × 162,920.61
  4. Step 4: Simplify right side
    562,274.10x = 137,416,185,186.28
  5. Step 5: Solve for x
    x = 137,416,185,186.28/562,274.10
  6. Step 6: Final answer
    x = 244,393.59

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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.