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Finding the Fourth Proportional to 517,196.94, 713,830.08 and 323,694.55

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Solution

The fourth proportional to 517,196.94, 713,830.08 and 323,694.55 is: 446,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,196.94 : 713,830.08 = 323,694.55 : x
  2. Step 2: Convert to fraction form
    517,196.94/713,830.08 = 323,694.55/x
  3. Step 3: Cross multiply
    517,196.94x = 713,830.08 × 323,694.55
  4. Step 4: Simplify right side
    517,196.94x = 231,062,906,522.06
  5. Step 5: Solve for x
    x = 231,062,906,522.06/517,196.94
  6. Step 6: Final answer
    x = 446,760.00

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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.