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Finding the Fourth Proportional to 314,733.80, 434,337.54 and 171,493.96

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Solution

The fourth proportional to 314,733.80, 434,337.54 and 171,493.96 is: 236,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,733.80 : 434,337.54 = 171,493.96 : x
  2. Step 2: Convert to fraction form
    314,733.80/434,337.54 = 171,493.96/x
  3. Step 3: Cross multiply
    314,733.80x = 434,337.54 × 171,493.96
  4. Step 4: Simplify right side
    314,733.80x = 74,486,264,711.26
  5. Step 5: Solve for x
    x = 74,486,264,711.26/314,733.80
  6. Step 6: Final answer
    x = 236,664.33

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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.