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Finding the Fourth Proportional to 469,162.67, 647,817.14 and 433,339.61

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Solution

The fourth proportional to 469,162.67, 647,817.14 and 433,339.61 is: 598,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,162.67 : 647,817.14 = 433,339.61 : x
  2. Step 2: Convert to fraction form
    469,162.67/647,817.14 = 433,339.61/x
  3. Step 3: Cross multiply
    469,162.67x = 647,817.14 × 433,339.61
  4. Step 4: Simplify right side
    469,162.67x = 280,724,824,643.18
  5. Step 5: Solve for x
    x = 280,724,824,643.18/469,162.67
  6. Step 6: Final answer
    x = 598,352.86

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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.