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Finding the Fourth Proportional to 531,832.80, 797,822.10 and 176,809.80

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Solution

The fourth proportional to 531,832.80, 797,822.10 and 176,809.80 is: 265,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,832.80 : 797,822.10 = 176,809.80 : x
  2. Step 2: Convert to fraction form
    531,832.80/797,822.10 = 176,809.80/x
  3. Step 3: Cross multiply
    531,832.80x = 797,822.10 × 176,809.80
  4. Step 4: Simplify right side
    531,832.80x = 141,062,765,936.58
  5. Step 5: Solve for x
    x = 141,062,765,936.58/531,832.80
  6. Step 6: Final answer
    x = 265,238.94

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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.