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Finding the Fourth Proportional to 531,805.74, 797,719.53 and 176,822.82

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Solution

The fourth proportional to 531,805.74, 797,719.53 and 176,822.82 is: 265,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,805.74 : 797,719.53 = 176,822.82 : x
  2. Step 2: Convert to fraction form
    531,805.74/797,719.53 = 176,822.82/x
  3. Step 3: Cross multiply
    531,805.74x = 797,719.53 × 176,822.82
  4. Step 4: Simplify right side
    531,805.74x = 141,055,016,863.68
  5. Step 5: Solve for x
    x = 141,055,016,863.68/531,805.74
  6. Step 6: Final answer
    x = 265,237.86

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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.