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Finding the Fourth Proportional to 598,299, 896,945.13 and 278,288.34

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Solution

The fourth proportional to 598,299, 896,945.13 and 278,288.34 is: 417,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,299 : 896,945.13 = 278,288.34 : x
  2. Step 2: Convert to fraction form
    598,299/896,945.13 = 278,288.34/x
  3. Step 3: Cross multiply
    598,299x = 896,945.13 × 278,288.34
  4. Step 4: Simplify right side
    598,299x = 249,609,371,298.78
  5. Step 5: Solve for x
    x = 249,609,371,298.78/598,299
  6. Step 6: Final answer
    x = 417,198.38

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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.