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Finding the Fourth Proportional to 341,649.40, 471,466.38 and 190,743.16

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Solution

The fourth proportional to 341,649.40, 471,466.38 and 190,743.16 is: 263,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,649.40 : 471,466.38 = 190,743.16 : x
  2. Step 2: Convert to fraction form
    341,649.40/471,466.38 = 190,743.16/x
  3. Step 3: Cross multiply
    341,649.40x = 471,466.38 × 190,743.16
  4. Step 4: Simplify right side
    341,649.40x = 89,928,987,154.96
  5. Step 5: Solve for x
    x = 89,928,987,154.96/341,649.40
  6. Step 6: Final answer
    x = 263,220.09

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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.