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Finding the Fourth Proportional to 341,546.50, 471,334.44 and 190,643.50

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Solution

The fourth proportional to 341,546.50, 471,334.44 and 190,643.50 is: 263,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,546.50 : 471,334.44 = 190,643.50 : x
  2. Step 2: Convert to fraction form
    341,546.50/471,334.44 = 190,643.50/x
  3. Step 3: Cross multiply
    341,546.50x = 471,334.44 × 190,643.50
  4. Step 4: Simplify right side
    341,546.50x = 89,856,847,312.14
  5. Step 5: Solve for x
    x = 89,856,847,312.14/341,546.50
  6. Step 6: Final answer
    x = 263,088.18

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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.