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Finding the Fourth Proportional to 531,819.13, 797,735.64 and 176,833.15

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Solution

The fourth proportional to 531,819.13, 797,735.64 and 176,833.15 is: 265,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,819.13 : 797,735.64 = 176,833.15 : x
  2. Step 2: Convert to fraction form
    531,819.13/797,735.64 = 176,833.15/x
  3. Step 3: Cross multiply
    531,819.13x = 797,735.64 × 176,833.15
  4. Step 4: Simplify right side
    531,819.13x = 141,066,101,215.62
  5. Step 5: Solve for x
    x = 141,066,101,215.62/531,819.13
  6. Step 6: Final answer
    x = 265,252.03

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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.