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Finding the Fourth Proportional to 337,641.90, 465,878.43 and 186,709.74

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Solution

The fourth proportional to 337,641.90, 465,878.43 and 186,709.74 is: 257,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,641.90 : 465,878.43 = 186,709.74 : x
  2. Step 2: Convert to fraction form
    337,641.90/465,878.43 = 186,709.74/x
  3. Step 3: Cross multiply
    337,641.90x = 465,878.43 × 186,709.74
  4. Step 4: Simplify right side
    337,641.90x = 86,984,040,536.91
  5. Step 5: Solve for x
    x = 86,984,040,536.91/337,641.90
  6. Step 6: Final answer
    x = 257,622.17

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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.