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Finding the Fourth Proportional to 584,505.46, 876,807.84 and 205,393.42

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Solution

The fourth proportional to 584,505.46, 876,807.84 and 205,393.42 is: 308,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,505.46 : 876,807.84 = 205,393.42 : x
  2. Step 2: Convert to fraction form
    584,505.46/876,807.84 = 205,393.42/x
  3. Step 3: Cross multiply
    584,505.46x = 876,807.84 × 205,393.42
  4. Step 4: Simplify right side
    584,505.46x = 180,090,560,940.41
  5. Step 5: Solve for x
    x = 180,090,560,940.41/584,505.46
  6. Step 6: Final answer
    x = 308,107.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.