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Finding the Fourth Proportional to 344,322.90, 475,029.54 and 199,101.96

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Solution

The fourth proportional to 344,322.90, 475,029.54 and 199,101.96 is: 274,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,322.90 : 475,029.54 = 199,101.96 : x
  2. Step 2: Convert to fraction form
    344,322.90/475,029.54 = 199,101.96/x
  3. Step 3: Cross multiply
    344,322.90x = 475,029.54 × 199,101.96
  4. Step 4: Simplify right side
    344,322.90x = 94,579,312,471.90
  5. Step 5: Solve for x
    x = 94,579,312,471.90/344,322.90
  6. Step 6: Final answer
    x = 274,682.03

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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.