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Finding the Fourth Proportional to 586,576.84, 809,035.38 and 393,202.64

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Solution

The fourth proportional to 586,576.84, 809,035.38 and 393,202.64 is: 542,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,576.84 : 809,035.38 = 393,202.64 : x
  2. Step 2: Convert to fraction form
    586,576.84/809,035.38 = 393,202.64/x
  3. Step 3: Cross multiply
    586,576.84x = 809,035.38 × 393,202.64
  4. Step 4: Simplify right side
    586,576.84x = 318,114,847,269.40
  5. Step 5: Solve for x
    x = 318,114,847,269.40/586,576.84
  6. Step 6: Final answer
    x = 542,324.25

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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.