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Finding the Fourth Proportional to 314,783.08, 434,388.02 and 171,540.05

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Solution

The fourth proportional to 314,783.08, 434,388.02 and 171,540.05 is: 236,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,783.08 : 434,388.02 = 171,540.05 : x
  2. Step 2: Convert to fraction form
    314,783.08/434,388.02 = 171,540.05/x
  3. Step 3: Cross multiply
    314,783.08x = 434,388.02 × 171,540.05
  4. Step 4: Simplify right side
    314,783.08x = 74,514,939,640.56
  5. Step 5: Solve for x
    x = 74,514,939,640.56/314,783.08
  6. Step 6: Final answer
    x = 236,718.38

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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.