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Finding the Fourth Proportional to 594,334.40, 819,982 and 339,505.16

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Solution

The fourth proportional to 594,334.40, 819,982 and 339,505.16 is: 468,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,334.40 : 819,982 = 339,505.16 : x
  2. Step 2: Convert to fraction form
    594,334.40/819,982 = 339,505.16/x
  3. Step 3: Cross multiply
    594,334.40x = 819,982 × 339,505.16
  4. Step 4: Simplify right side
    594,334.40x = 278,388,120,107.12
  5. Step 5: Solve for x
    x = 278,388,120,107.12/594,334.40
  6. Step 6: Final answer
    x = 468,403.18

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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.