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Finding the Fourth Proportional to 343,825.36, 474,492.74 and 188,782.85

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Solution

The fourth proportional to 343,825.36, 474,492.74 and 188,782.85 is: 260,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,825.36 : 474,492.74 = 188,782.85 : x
  2. Step 2: Convert to fraction form
    343,825.36/474,492.74 = 188,782.85/x
  3. Step 3: Cross multiply
    343,825.36x = 474,492.74 × 188,782.85
  4. Step 4: Simplify right side
    343,825.36x = 89,576,092,003.83
  5. Step 5: Solve for x
    x = 89,576,092,003.83/343,825.36
  6. Step 6: Final answer
    x = 260,527.88

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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.