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Finding the Fourth Proportional to 284,258.40, 425,869.20 and 231,381.60

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Solution

The fourth proportional to 284,258.40, 425,869.20 and 231,381.60 is: 346,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,258.40 : 425,869.20 = 231,381.60 : x
  2. Step 2: Convert to fraction form
    284,258.40/425,869.20 = 231,381.60/x
  3. Step 3: Cross multiply
    284,258.40x = 425,869.20 × 231,381.60
  4. Step 4: Simplify right side
    284,258.40x = 98,538,296,886.72
  5. Step 5: Solve for x
    x = 98,538,296,886.72/284,258.40
  6. Step 6: Final answer
    x = 346,650.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.