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Finding the Fourth Proportional to 337,473.50, 465,723.15 and 186,580.22

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Solution

The fourth proportional to 337,473.50, 465,723.15 and 186,580.22 is: 257,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,473.50 : 465,723.15 = 186,580.22 : x
  2. Step 2: Convert to fraction form
    337,473.50/465,723.15 = 186,580.22/x
  3. Step 3: Cross multiply
    337,473.50x = 465,723.15 × 186,580.22
  4. Step 4: Simplify right side
    337,473.50x = 86,894,727,786.09
  5. Step 5: Solve for x
    x = 86,894,727,786.09/337,473.50
  6. Step 6: Final answer
    x = 257,486.08

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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.