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Finding the Fourth Proportional to 299,664.08, 413,529 and 172,336.72

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Solution

The fourth proportional to 299,664.08, 413,529 and 172,336.72 is: 237,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664.08 : 413,529 = 172,336.72 : x
  2. Step 2: Convert to fraction form
    299,664.08/413,529 = 172,336.72/x
  3. Step 3: Cross multiply
    299,664.08x = 413,529 × 172,336.72
  4. Step 4: Simplify right side
    299,664.08x = 71,266,231,484.88
  5. Step 5: Solve for x
    x = 71,266,231,484.88/299,664.08
  6. Step 6: Final answer
    x = 237,820.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.