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Finding the Fourth Proportional to 589,282.62, 813,210.15 and 321,010.62

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Solution

The fourth proportional to 589,282.62, 813,210.15 and 321,010.62 is: 442,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,282.62 : 813,210.15 = 321,010.62 : x
  2. Step 2: Convert to fraction form
    589,282.62/813,210.15 = 321,010.62/x
  3. Step 3: Cross multiply
    589,282.62x = 813,210.15 × 321,010.62
  4. Step 4: Simplify right side
    589,282.62x = 261,049,094,441.79
  5. Step 5: Solve for x
    x = 261,049,094,441.79/589,282.62
  6. Step 6: Final answer
    x = 442,994.73

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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.