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Finding the Fourth Proportional to 586,181.76, 809,082.88 and 331,680.56

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Solution

The fourth proportional to 586,181.76, 809,082.88 and 331,680.56 is: 457,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,181.76 : 809,082.88 = 331,680.56 : x
  2. Step 2: Convert to fraction form
    586,181.76/809,082.88 = 331,680.56/x
  3. Step 3: Cross multiply
    586,181.76x = 809,082.88 × 331,680.56
  4. Step 4: Simplify right side
    586,181.76x = 268,357,062,724.81
  5. Step 5: Solve for x
    x = 268,357,062,724.81/586,181.76
  6. Step 6: Final answer
    x = 457,805.21

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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.