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Finding the Fourth Proportional to 305,433.99, 421,746.55 and 190,846.13

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Solution

The fourth proportional to 305,433.99, 421,746.55 and 190,846.13 is: 263,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,433.99 : 421,746.55 = 190,846.13 : x
  2. Step 2: Convert to fraction form
    305,433.99/421,746.55 = 190,846.13/x
  3. Step 3: Cross multiply
    305,433.99x = 421,746.55 × 190,846.13
  4. Step 4: Simplify right side
    305,433.99x = 80,488,694,322.50
  5. Step 5: Solve for x
    x = 80,488,694,322.50/305,433.99
  6. Step 6: Final answer
    x = 263,522.39

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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.