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Finding the Fourth Proportional to 379,321.40, 569,004 and 142,666.13

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Solution

The fourth proportional to 379,321.40, 569,004 and 142,666.13 is: 214,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,321.40 : 569,004 = 142,666.13 : x
  2. Step 2: Convert to fraction form
    379,321.40/569,004 = 142,666.13/x
  3. Step 3: Cross multiply
    379,321.40x = 569,004 × 142,666.13
  4. Step 4: Simplify right side
    379,321.40x = 81,177,595,789.50
  5. Step 5: Solve for x
    x = 81,177,595,789.50/379,321.40
  6. Step 6: Final answer
    x = 214,007.43

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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.