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Finding the Fourth Proportional to 343,782.02, 474,410.07 and 190,819.77

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Solution

The fourth proportional to 343,782.02, 474,410.07 and 190,819.77 is: 263,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,782.02 : 474,410.07 = 190,819.77 : x
  2. Step 2: Convert to fraction form
    343,782.02/474,410.07 = 190,819.77/x
  3. Step 3: Cross multiply
    343,782.02x = 474,410.07 × 190,819.77
  4. Step 4: Simplify right side
    343,782.02x = 90,526,820,443.08
  5. Step 5: Solve for x
    x = 90,526,820,443.08/343,782.02
  6. Step 6: Final answer
    x = 263,326.22

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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.