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Finding the Fourth Proportional to 594,452.84, 820,344.93 and 339,809.50

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Solution

The fourth proportional to 594,452.84, 820,344.93 and 339,809.50 is: 468,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,452.84 : 820,344.93 = 339,809.50 : x
  2. Step 2: Convert to fraction form
    594,452.84/820,344.93 = 339,809.50/x
  3. Step 3: Cross multiply
    594,452.84x = 820,344.93 × 339,809.50
  4. Step 4: Simplify right side
    594,452.84x = 278,761,000,490.84
  5. Step 5: Solve for x
    x = 278,761,000,490.84/594,452.84
  6. Step 6: Final answer
    x = 468,937.12

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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.