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Finding the Fourth Proportional to 514,194.93, 709,504.65 and 323,073

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Solution

The fourth proportional to 514,194.93, 709,504.65 and 323,073 is: 445,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,194.93 : 709,504.65 = 323,073 : x
  2. Step 2: Convert to fraction form
    514,194.93/709,504.65 = 323,073/x
  3. Step 3: Cross multiply
    514,194.93x = 709,504.65 × 323,073
  4. Step 4: Simplify right side
    514,194.93x = 229,221,795,789.45
  5. Step 5: Solve for x
    x = 229,221,795,789.45/514,194.93
  6. Step 6: Final answer
    x = 445,787.74

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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.