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Finding the Fourth Proportional to 434,021.64, 599,107.08 and 353,309.04

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Solution

The fourth proportional to 434,021.64, 599,107.08 and 353,309.04 is: 487,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,021.64 : 599,107.08 = 353,309.04 : x
  2. Step 2: Convert to fraction form
    434,021.64/599,107.08 = 353,309.04/x
  3. Step 3: Cross multiply
    434,021.64x = 599,107.08 × 353,309.04
  4. Step 4: Simplify right side
    434,021.64x = 211,669,948,616.91
  5. Step 5: Solve for x
    x = 211,669,948,616.91/434,021.64
  6. Step 6: Final answer
    x = 487,694.46

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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.