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Finding the Fourth Proportional to 589,217.31, 813,096.99 and 360,158.12

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Solution

The fourth proportional to 589,217.31, 813,096.99 and 360,158.12 is: 497,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,217.31 : 813,096.99 = 360,158.12 : x
  2. Step 2: Convert to fraction form
    589,217.31/813,096.99 = 360,158.12/x
  3. Step 3: Cross multiply
    589,217.31x = 813,096.99 × 360,158.12
  4. Step 4: Simplify right side
    589,217.31x = 292,843,479,230.57
  5. Step 5: Solve for x
    x = 292,843,479,230.57/589,217.31
  6. Step 6: Final answer
    x = 497,004.21

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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.