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Finding the Fourth Proportional to 599,165.42, 826,853.91 and 341,029.76

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Solution

The fourth proportional to 599,165.42, 826,853.91 and 341,029.76 is: 470,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,165.42 : 826,853.91 = 341,029.76 : x
  2. Step 2: Convert to fraction form
    599,165.42/826,853.91 = 341,029.76/x
  3. Step 3: Cross multiply
    599,165.42x = 826,853.91 × 341,029.76
  4. Step 4: Simplify right side
    599,165.42x = 281,981,790,482.36
  5. Step 5: Solve for x
    x = 281,981,790,482.36/599,165.42
  6. Step 6: Final answer
    x = 470,624.27

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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.