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Finding the Fourth Proportional to 337,178, 465,309.96 and 186,289.04

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Solution

The fourth proportional to 337,178, 465,309.96 and 186,289.04 is: 257,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,178 : 465,309.96 = 186,289.04 : x
  2. Step 2: Convert to fraction form
    337,178/465,309.96 = 186,289.04/x
  3. Step 3: Cross multiply
    337,178x = 465,309.96 × 186,289.04
  4. Step 4: Simplify right side
    337,178x = 86,682,145,750.84
  5. Step 5: Solve for x
    x = 86,682,145,750.84/337,178
  6. Step 6: Final answer
    x = 257,081.26

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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.