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Finding the Fourth Proportional to 591,516, 816,233.58 and 362,137.95

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Solution

The fourth proportional to 591,516, 816,233.58 and 362,137.95 is: 499,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,516 : 816,233.58 = 362,137.95 : x
  2. Step 2: Convert to fraction form
    591,516/816,233.58 = 362,137.95/x
  3. Step 3: Cross multiply
    591,516x = 816,233.58 × 362,137.95
  4. Step 4: Simplify right side
    591,516x = 295,589,155,382.36
  5. Step 5: Solve for x
    x = 295,589,155,382.36/591,516
  6. Step 6: Final answer
    x = 499,714.56

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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.