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Finding the Fourth Proportional to 642,053.05, 963,473.24 and 287,367.01

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Solution

The fourth proportional to 642,053.05, 963,473.24 and 287,367.01 is: 431,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,053.05 : 963,473.24 = 287,367.01 : x
  2. Step 2: Convert to fraction form
    642,053.05/963,473.24 = 287,367.01/x
  3. Step 3: Cross multiply
    642,053.05x = 963,473.24 × 287,367.01
  4. Step 4: Simplify right side
    642,053.05x = 276,870,424,193.81
  5. Step 5: Solve for x
    x = 276,870,424,193.81/642,053.05
  6. Step 6: Final answer
    x = 431,226.71

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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.