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Finding the Fourth Proportional to 334,431.78, 501,699.84 and 109,741.07

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Solution

The fourth proportional to 334,431.78, 501,699.84 and 109,741.07 is: 164,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,431.78 : 501,699.84 = 109,741.07 : x
  2. Step 2: Convert to fraction form
    334,431.78/501,699.84 = 109,741.07/x
  3. Step 3: Cross multiply
    334,431.78x = 501,699.84 × 109,741.07
  4. Step 4: Simplify right side
    334,431.78x = 55,057,074,751.93
  5. Step 5: Solve for x
    x = 55,057,074,751.93/334,431.78
  6. Step 6: Final answer
    x = 164,628.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.