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Finding the Fourth Proportional to 562,647, 843,970.68 and 168,663

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Solution

The fourth proportional to 562,647, 843,970.68 and 168,663 is: 252,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,647 : 843,970.68 = 168,663 : x
  2. Step 2: Convert to fraction form
    562,647/843,970.68 = 168,663/x
  3. Step 3: Cross multiply
    562,647x = 843,970.68 × 168,663
  4. Step 4: Simplify right side
    562,647x = 142,346,626,800.84
  5. Step 5: Solve for x
    x = 142,346,626,800.84/562,647
  6. Step 6: Final answer
    x = 252,994.55

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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.