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Finding the Fourth Proportional to 307,258.30, 424,047.92 and 171,314.38

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Solution

The fourth proportional to 307,258.30, 424,047.92 and 171,314.38 is: 236,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,258.30 : 424,047.92 = 171,314.38 : x
  2. Step 2: Convert to fraction form
    307,258.30/424,047.92 = 171,314.38/x
  3. Step 3: Cross multiply
    307,258.30x = 424,047.92 × 171,314.38
  4. Step 4: Simplify right side
    307,258.30x = 72,645,506,505.09
  5. Step 5: Solve for x
    x = 72,645,506,505.09/307,258.30
  6. Step 6: Final answer
    x = 236,431.39

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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.