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Finding the Fourth Proportional to 598,279.14, 825,592.77 and 343,630.40

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Solution

The fourth proportional to 598,279.14, 825,592.77 and 343,630.40 is: 474,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,279.14 : 825,592.77 = 343,630.40 : x
  2. Step 2: Convert to fraction form
    598,279.14/825,592.77 = 343,630.40/x
  3. Step 3: Cross multiply
    598,279.14x = 825,592.77 × 343,630.40
  4. Step 4: Simplify right side
    598,279.14x = 283,698,769,664.24
  5. Step 5: Solve for x
    x = 283,698,769,664.24/598,279.14
  6. Step 6: Final answer
    x = 474,191.31

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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.