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Finding the Fourth Proportional to 531,953.70, 797,265.27 and 265,789.14

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Solution

The fourth proportional to 531,953.70, 797,265.27 and 265,789.14 is: 398,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,953.70 : 797,265.27 = 265,789.14 : x
  2. Step 2: Convert to fraction form
    531,953.70/797,265.27 = 265,789.14/x
  3. Step 3: Cross multiply
    531,953.70x = 797,265.27 × 265,789.14
  4. Step 4: Simplify right side
    531,953.70x = 211,904,450,465.17
  5. Step 5: Solve for x
    x = 211,904,450,465.17/531,953.70
  6. Step 6: Final answer
    x = 398,351.30

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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.