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Finding the Fourth Proportional to 294,451.89, 406,240.13 and 192,537

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Solution

The fourth proportional to 294,451.89, 406,240.13 and 192,537 is: 265,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,451.89 : 406,240.13 = 192,537 : x
  2. Step 2: Convert to fraction form
    294,451.89/406,240.13 = 192,537/x
  3. Step 3: Cross multiply
    294,451.89x = 406,240.13 × 192,537
  4. Step 4: Simplify right side
    294,451.89x = 78,216,256,391.15
  5. Step 5: Solve for x
    x = 78,216,256,391.15/294,451.89
  6. Step 6: Final answer
    x = 265,633.40

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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.