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Finding the Fourth Proportional to 509,826.54, 703,708.52 and 316,293.24

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Solution

The fourth proportional to 509,826.54, 703,708.52 and 316,293.24 is: 436,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,826.54 : 703,708.52 = 316,293.24 : x
  2. Step 2: Convert to fraction form
    509,826.54/703,708.52 = 316,293.24/x
  3. Step 3: Cross multiply
    509,826.54x = 703,708.52 × 316,293.24
  4. Step 4: Simplify right side
    509,826.54x = 222,578,246,224.94
  5. Step 5: Solve for x
    x = 222,578,246,224.94/509,826.54
  6. Step 6: Final answer
    x = 436,576.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.