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Finding the Fourth Proportional to 337,338.72, 465,509.16 and 186,426

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Solution

The fourth proportional to 337,338.72, 465,509.16 and 186,426 is: 257,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,338.72 : 465,509.16 = 186,426 : x
  2. Step 2: Convert to fraction form
    337,338.72/465,509.16 = 186,426/x
  3. Step 3: Cross multiply
    337,338.72x = 465,509.16 × 186,426
  4. Step 4: Simplify right side
    337,338.72x = 86,783,010,662.16
  5. Step 5: Solve for x
    x = 86,783,010,662.16/337,338.72
  6. Step 6: Final answer
    x = 257,257.78

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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.