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Finding the Fourth Proportional to 594,634.23, 820,569.02 and 340,002.09

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Solution

The fourth proportional to 594,634.23, 820,569.02 and 340,002.09 is: 469,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,634.23 : 820,569.02 = 340,002.09 : x
  2. Step 2: Convert to fraction form
    594,634.23/820,569.02 = 340,002.09/x
  3. Step 3: Cross multiply
    594,634.23x = 820,569.02 × 340,002.09
  4. Step 4: Simplify right side
    594,634.23x = 278,995,180,089.24
  5. Step 5: Solve for x
    x = 278,995,180,089.24/594,634.23
  6. Step 6: Final answer
    x = 469,187.89

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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.