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Finding the Fourth Proportional to 517,191.60, 713,822.72 and 323,689.32

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Solution

The fourth proportional to 517,191.60, 713,822.72 and 323,689.32 is: 446,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,191.60 : 713,822.72 = 323,689.32 : x
  2. Step 2: Convert to fraction form
    517,191.60/713,822.72 = 323,689.32/x
  3. Step 3: Cross multiply
    517,191.60x = 713,822.72 × 323,689.32
  4. Step 4: Simplify right side
    517,191.60x = 231,056,790,837.35
  5. Step 5: Solve for x
    x = 231,056,790,837.35/517,191.60
  6. Step 6: Final answer
    x = 446,752.79

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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.