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Finding the Fourth Proportional to 584,415.73, 876,711.24 and 205,269.63

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Solution

The fourth proportional to 584,415.73, 876,711.24 and 205,269.63 is: 307,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,415.73 : 876,711.24 = 205,269.63 : x
  2. Step 2: Convert to fraction form
    584,415.73/876,711.24 = 205,269.63/x
  3. Step 3: Cross multiply
    584,415.73x = 876,711.24 × 205,269.63
  4. Step 4: Simplify right side
    584,415.73x = 179,962,191,851.64
  5. Step 5: Solve for x
    x = 179,962,191,851.64/584,415.73
  6. Step 6: Final answer
    x = 307,935.23

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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.