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Finding the Fourth Proportional to 284,024.42, 426,022.03 and 84,346.46

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Solution

The fourth proportional to 284,024.42, 426,022.03 and 84,346.46 is: 126,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,024.42 : 426,022.03 = 84,346.46 : x
  2. Step 2: Convert to fraction form
    284,024.42/426,022.03 = 84,346.46/x
  3. Step 3: Cross multiply
    284,024.42x = 426,022.03 × 84,346.46
  4. Step 4: Simplify right side
    284,024.42x = 35,933,450,112.51
  5. Step 5: Solve for x
    x = 35,933,450,112.51/284,024.42
  6. Step 6: Final answer
    x = 126,515.35

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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.