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Finding the Fourth Proportional to 594,078.16, 819,871.23 and 339,423.88

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Solution

The fourth proportional to 594,078.16, 819,871.23 and 339,423.88 is: 468,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,078.16 : 819,871.23 = 339,423.88 : x
  2. Step 2: Convert to fraction form
    594,078.16/819,871.23 = 339,423.88/x
  3. Step 3: Cross multiply
    594,078.16x = 819,871.23 × 339,423.88
  4. Step 4: Simplify right side
    594,078.16x = 278,283,873,986.97
  5. Step 5: Solve for x
    x = 278,283,873,986.97/594,078.16
  6. Step 6: Final answer
    x = 468,429.73

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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.