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Finding the Fourth Proportional to 589,609.24, 813,689.62 and 331,567.40

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Solution

The fourth proportional to 589,609.24, 813,689.62 and 331,567.40 is: 457,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,609.24 : 813,689.62 = 331,567.40 : x
  2. Step 2: Convert to fraction form
    589,609.24/813,689.62 = 331,567.40/x
  3. Step 3: Cross multiply
    589,609.24x = 813,689.62 × 331,567.40
  4. Step 4: Simplify right side
    589,609.24x = 269,792,951,710.39
  5. Step 5: Solve for x
    x = 269,792,951,710.39/589,609.24
  6. Step 6: Final answer
    x = 457,579.25

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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.