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Finding the Fourth Proportional to 600,898.31, 829,238.37 and 328,964

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Solution

The fourth proportional to 600,898.31, 829,238.37 and 328,964 is: 453,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,898.31 : 829,238.37 = 328,964 : x
  2. Step 2: Convert to fraction form
    600,898.31/829,238.37 = 328,964/x
  3. Step 3: Cross multiply
    600,898.31x = 829,238.37 × 328,964
  4. Step 4: Simplify right side
    600,898.31x = 272,789,571,148.68
  5. Step 5: Solve for x
    x = 272,789,571,148.68/600,898.31
  6. Step 6: Final answer
    x = 453,969.61

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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.