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Finding the Fourth Proportional to 314,305.64, 433,741.76 and 171,066.71

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Solution

The fourth proportional to 314,305.64, 433,741.76 and 171,066.71 is: 236,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,305.64 : 433,741.76 = 171,066.71 : x
  2. Step 2: Convert to fraction form
    314,305.64/433,741.76 = 171,066.71/x
  3. Step 3: Cross multiply
    314,305.64x = 433,741.76 × 171,066.71
  4. Step 4: Simplify right side
    314,305.64x = 74,198,777,384.83
  5. Step 5: Solve for x
    x = 74,198,777,384.83/314,305.64
  6. Step 6: Final answer
    x = 236,072.05

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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.