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Finding the Fourth Proportional to 341,454.28, 471,254.37 and 190,561

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Solution

The fourth proportional to 341,454.28, 471,254.37 and 190,561 is: 263,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,454.28 : 471,254.37 = 190,561 : x
  2. Step 2: Convert to fraction form
    341,454.28/471,254.37 = 190,561/x
  3. Step 3: Cross multiply
    341,454.28x = 471,254.37 × 190,561
  4. Step 4: Simplify right side
    341,454.28x = 89,802,704,001.57
  5. Step 5: Solve for x
    x = 89,802,704,001.57/341,454.28
  6. Step 6: Final answer
    x = 263,000.67

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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.