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Finding the Fourth Proportional to 598,296, 896,940.65 and 278,285.33

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Solution

The fourth proportional to 598,296, 896,940.65 and 278,285.33 is: 417,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,296 : 896,940.65 = 278,285.33 : x
  2. Step 2: Convert to fraction form
    598,296/896,940.65 = 278,285.33/x
  3. Step 3: Cross multiply
    598,296x = 896,940.65 × 278,285.33
  4. Step 4: Simplify right side
    598,296x = 249,605,418,899.54
  5. Step 5: Solve for x
    x = 249,605,418,899.54/598,296
  6. Step 6: Final answer
    x = 417,193.86

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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.