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Finding the Fourth Proportional to 562,092, 843,148.93 and 206,923.20

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Solution

The fourth proportional to 562,092, 843,148.93 and 206,923.20 is: 310,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,092 : 843,148.93 = 206,923.20 : x
  2. Step 2: Convert to fraction form
    562,092/843,148.93 = 206,923.20/x
  3. Step 3: Cross multiply
    562,092x = 843,148.93 × 206,923.20
  4. Step 4: Simplify right side
    562,092x = 174,467,074,672.18
  5. Step 5: Solve for x
    x = 174,467,074,672.18/562,092
  6. Step 6: Final answer
    x = 310,388.82

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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.