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Finding the Fourth Proportional to 343,650.46, 474,214.84 and 190,678.96

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Solution

The fourth proportional to 343,650.46, 474,214.84 and 190,678.96 is: 263,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,650.46 : 474,214.84 = 190,678.96 : x
  2. Step 2: Convert to fraction form
    343,650.46/474,214.84 = 190,678.96/x
  3. Step 3: Cross multiply
    343,650.46x = 474,214.84 × 190,678.96
  4. Step 4: Simplify right side
    343,650.46x = 90,422,792,507.77
  5. Step 5: Solve for x
    x = 90,422,792,507.77/343,650.46
  6. Step 6: Final answer
    x = 263,124.32

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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.