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Finding the Fourth Proportional to 314,460.96, 433,956.65 and 171,221.60

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Solution

The fourth proportional to 314,460.96, 433,956.65 and 171,221.60 is: 236,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,460.96 : 433,956.65 = 171,221.60 : x
  2. Step 2: Convert to fraction form
    314,460.96/433,956.65 = 171,221.60/x
  3. Step 3: Cross multiply
    314,460.96x = 433,956.65 × 171,221.60
  4. Step 4: Simplify right side
    314,460.96x = 74,302,748,917.75
  5. Step 5: Solve for x
    x = 74,302,748,917.75/314,460.96
  6. Step 6: Final answer
    x = 236,286.08

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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.