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Finding the Fourth Proportional to 562,218.32, 843,327.54 and 162,859.28

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Solution

The fourth proportional to 562,218.32, 843,327.54 and 162,859.28 is: 244,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,218.32 : 843,327.54 = 162,859.28 : x
  2. Step 2: Convert to fraction form
    562,218.32/843,327.54 = 162,859.28/x
  3. Step 3: Cross multiply
    562,218.32x = 843,327.54 × 162,859.28
  4. Step 4: Simplify right side
    562,218.32x = 137,343,715,968.57
  5. Step 5: Solve for x
    x = 137,343,715,968.57/562,218.32
  6. Step 6: Final answer
    x = 244,288.94

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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.