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Finding the Fourth Proportional to 294,339.36, 406,197 and 208,452

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Solution

The fourth proportional to 294,339.36, 406,197 and 208,452 is: 287,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,339.36 : 406,197 = 208,452 : x
  2. Step 2: Convert to fraction form
    294,339.36/406,197 = 208,452/x
  3. Step 3: Cross multiply
    294,339.36x = 406,197 × 208,452
  4. Step 4: Simplify right side
    294,339.36x = 84,672,577,044
  5. Step 5: Solve for x
    x = 84,672,577,044/294,339.36
  6. Step 6: Final answer
    x = 287,669.91

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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.