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Finding the Fourth Proportional to 598,297, 896,942.14 and 278,286.33

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Solution

The fourth proportional to 598,297, 896,942.14 and 278,286.33 is: 417,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,297 : 896,942.14 = 278,286.33 : x
  2. Step 2: Convert to fraction form
    598,297/896,942.14 = 278,286.33/x
  3. Step 3: Cross multiply
    598,297x = 896,942.14 × 278,286.33
  4. Step 4: Simplify right side
    598,297x = 249,606,736,362.95
  5. Step 5: Solve for x
    x = 249,606,736,362.95/598,297
  6. Step 6: Final answer
    x = 417,195.37

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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.