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Finding the Fourth Proportional to 337,294.72, 465,448.40 and 186,382

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Solution

The fourth proportional to 337,294.72, 465,448.40 and 186,382 is: 257,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,294.72 : 465,448.40 = 186,382 : x
  2. Step 2: Convert to fraction form
    337,294.72/465,448.40 = 186,382/x
  3. Step 3: Cross multiply
    337,294.72x = 465,448.40 × 186,382
  4. Step 4: Simplify right side
    337,294.72x = 86,751,203,688.80
  5. Step 5: Solve for x
    x = 86,751,203,688.80/337,294.72
  6. Step 6: Final answer
    x = 257,197.04

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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.