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Finding the Fourth Proportional to 562,208.96, 843,313.44 and 162,849.87

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Solution

The fourth proportional to 562,208.96, 843,313.44 and 162,849.87 is: 244,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,208.96 : 843,313.44 = 162,849.87 : x
  2. Step 2: Convert to fraction form
    562,208.96/843,313.44 = 162,849.87/x
  3. Step 3: Cross multiply
    562,208.96x = 843,313.44 × 162,849.87
  4. Step 4: Simplify right side
    562,208.96x = 137,333,484,073.25
  5. Step 5: Solve for x
    x = 137,333,484,073.25/562,208.96
  6. Step 6: Final answer
    x = 244,274.81

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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.