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Finding the Fourth Proportional to 314,277.16, 433,694.16 and 171,034.12

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Solution

The fourth proportional to 314,277.16, 433,694.16 and 171,034.12 is: 236,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,277.16 : 433,694.16 = 171,034.12 : x
  2. Step 2: Convert to fraction form
    314,277.16/433,694.16 = 171,034.12/x
  3. Step 3: Cross multiply
    314,277.16x = 433,694.16 × 171,034.12
  4. Step 4: Simplify right side
    314,277.16x = 74,176,499,004.74
  5. Step 5: Solve for x
    x = 74,176,499,004.74/314,277.16
  6. Step 6: Final answer
    x = 236,022.56

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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.