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Finding the Fourth Proportional to 598,218, 825,558.12 and 329,963.28

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Solution

The fourth proportional to 598,218, 825,558.12 and 329,963.28 is: 455,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,218 : 825,558.12 = 329,963.28 : x
  2. Step 2: Convert to fraction form
    598,218/825,558.12 = 329,963.28/x
  3. Step 3: Cross multiply
    598,218x = 825,558.12 × 329,963.28
  4. Step 4: Simplify right side
    598,218x = 272,403,865,105.83
  5. Step 5: Solve for x
    x = 272,403,865,105.83/598,218
  6. Step 6: Final answer
    x = 455,358.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.