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Finding the Fourth Proportional to 341,407.78, 471,190.17 and 190,514.50

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Solution

The fourth proportional to 341,407.78, 471,190.17 and 190,514.50 is: 262,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,407.78 : 471,190.17 = 190,514.50 : x
  2. Step 2: Convert to fraction form
    341,407.78/471,190.17 = 190,514.50/x
  3. Step 3: Cross multiply
    341,407.78x = 471,190.17 × 190,514.50
  4. Step 4: Simplify right side
    341,407.78x = 89,768,559,642.47
  5. Step 5: Solve for x
    x = 89,768,559,642.47/341,407.78
  6. Step 6: Final answer
    x = 262,936.48

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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.