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Finding the Fourth Proportional to 291,239.19, 401,566.18 and 199,403.01

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Solution

The fourth proportional to 291,239.19, 401,566.18 and 199,403.01 is: 274,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,239.19 : 401,566.18 = 199,403.01 : x
  2. Step 2: Convert to fraction form
    291,239.19/401,566.18 = 199,403.01/x
  3. Step 3: Cross multiply
    291,239.19x = 401,566.18 × 199,403.01
  4. Step 4: Simplify right side
    291,239.19x = 80,073,503,749.58
  5. Step 5: Solve for x
    x = 80,073,503,749.58/291,239.19
  6. Step 6: Final answer
    x = 274,940.69

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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.