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Finding the Fourth Proportional to 307,592.97, 424,507.60 and 186,706.54

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Solution

The fourth proportional to 307,592.97, 424,507.60 and 186,706.54 is: 257,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,592.97 : 424,507.60 = 186,706.54 : x
  2. Step 2: Convert to fraction form
    307,592.97/424,507.60 = 186,706.54/x
  3. Step 3: Cross multiply
    307,592.97x = 424,507.60 × 186,706.54
  4. Step 4: Simplify right side
    307,592.97x = 79,258,345,199.70
  5. Step 5: Solve for x
    x = 79,258,345,199.70/307,592.97
  6. Step 6: Final answer
    x = 257,672.81

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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.