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Finding the Fourth Proportional to 531,864.96, 797,791.32 and 152,795

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Solution

The fourth proportional to 531,864.96, 797,791.32 and 152,795 is: 229,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,864.96 : 797,791.32 = 152,795 : x
  2. Step 2: Convert to fraction form
    531,864.96/797,791.32 = 152,795/x
  3. Step 3: Cross multiply
    531,864.96x = 797,791.32 × 152,795
  4. Step 4: Simplify right side
    531,864.96x = 121,898,524,739.40
  5. Step 5: Solve for x
    x = 121,898,524,739.40/531,864.96
  6. Step 6: Final answer
    x = 229,190.74

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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.