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Finding the Fourth Proportional to 314,774.52, 434,388.84 and 171,534.69

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Solution

The fourth proportional to 314,774.52, 434,388.84 and 171,534.69 is: 236,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.52 : 434,388.84 = 171,534.69 : x
  2. Step 2: Convert to fraction form
    314,774.52/434,388.84 = 171,534.69/x
  3. Step 3: Cross multiply
    314,774.52x = 434,388.84 × 171,534.69
  4. Step 4: Simplify right side
    314,774.52x = 74,512,755,008.86
  5. Step 5: Solve for x
    x = 74,512,755,008.86/314,774.52
  6. Step 6: Final answer
    x = 236,717.87

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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.