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Finding the Fourth Proportional to 314,764.62, 434,380.14 and 171,524.58

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Solution

The fourth proportional to 314,764.62, 434,380.14 and 171,524.58 is: 236,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,764.62 : 434,380.14 = 171,524.58 : x
  2. Step 2: Convert to fraction form
    314,764.62/434,380.14 = 171,524.58/x
  3. Step 3: Cross multiply
    314,764.62x = 434,380.14 × 171,524.58
  4. Step 4: Simplify right side
    314,764.62x = 74,506,871,073.84
  5. Step 5: Solve for x
    x = 74,506,871,073.84/314,764.62
  6. Step 6: Final answer
    x = 236,706.63

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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.