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Finding the Fourth Proportional to 314,304.63, 433,749.60 and 171,073.95

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Solution

The fourth proportional to 314,304.63, 433,749.60 and 171,073.95 is: 236,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304.63 : 433,749.60 = 171,073.95 : x
  2. Step 2: Convert to fraction form
    314,304.63/433,749.60 = 171,073.95/x
  3. Step 3: Cross multiply
    314,304.63x = 433,749.60 × 171,073.95
  4. Step 4: Simplify right side
    314,304.63x = 74,203,257,382.92
  5. Step 5: Solve for x
    x = 74,203,257,382.92/314,304.63
  6. Step 6: Final answer
    x = 236,087.06

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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.