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Finding the Fourth Proportional to 295,576.29, 407,749.14 and 174,659.09

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Solution

The fourth proportional to 295,576.29, 407,749.14 and 174,659.09 is: 240,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,576.29 : 407,749.14 = 174,659.09 : x
  2. Step 2: Convert to fraction form
    295,576.29/407,749.14 = 174,659.09/x
  3. Step 3: Cross multiply
    295,576.29x = 407,749.14 × 174,659.09
  4. Step 4: Simplify right side
    295,576.29x = 71,217,091,701.94
  5. Step 5: Solve for x
    x = 71,217,091,701.94/295,576.29
  6. Step 6: Final answer
    x = 240,943.18

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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.