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Finding the Fourth Proportional to 466,431.36, 699,606.72 and 284,015.06

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Solution

The fourth proportional to 466,431.36, 699,606.72 and 284,015.06 is: 425,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,431.36 : 699,606.72 = 284,015.06 : x
  2. Step 2: Convert to fraction form
    466,431.36/699,606.72 = 284,015.06/x
  3. Step 3: Cross multiply
    466,431.36x = 699,606.72 × 284,015.06
  4. Step 4: Simplify right side
    466,431.36x = 198,698,843,682.70
  5. Step 5: Solve for x
    x = 198,698,843,682.70/466,431.36
  6. Step 6: Final answer
    x = 425,998.04

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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.