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Finding the Fourth Proportional to 600,070.96, 827,796 and 395,906.68

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Solution

The fourth proportional to 600,070.96, 827,796 and 395,906.68 is: 546,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,070.96 : 827,796 = 395,906.68 : x
  2. Step 2: Convert to fraction form
    600,070.96/827,796 = 395,906.68/x
  3. Step 3: Cross multiply
    600,070.96x = 827,796 × 395,906.68
  4. Step 4: Simplify right side
    600,070.96x = 327,729,966,077.28
  5. Step 5: Solve for x
    x = 327,729,966,077.28/600,070.96
  6. Step 6: Final answer
    x = 546,152.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.