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Finding the Fourth Proportional to 314,305.48, 433,741.58 and 171,066.57

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Solution

The fourth proportional to 314,305.48, 433,741.58 and 171,066.57 is: 236,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,305.48 : 433,741.58 = 171,066.57 : x
  2. Step 2: Convert to fraction form
    314,305.48/433,741.58 = 171,066.57/x
  3. Step 3: Cross multiply
    314,305.48x = 433,741.58 × 171,066.57
  4. Step 4: Simplify right side
    314,305.48x = 74,198,684,356.98
  5. Step 5: Solve for x
    x = 74,198,684,356.98/314,305.48
  6. Step 6: Final answer
    x = 236,071.88

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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.