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Finding the Fourth Proportional to 379,470.30, 569,205.45 and 142,866.06

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Solution

The fourth proportional to 379,470.30, 569,205.45 and 142,866.06 is: 214,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,470.30 : 569,205.45 = 142,866.06 : x
  2. Step 2: Convert to fraction form
    379,470.30/569,205.45 = 142,866.06/x
  3. Step 3: Cross multiply
    379,470.30x = 569,205.45 × 142,866.06
  4. Step 4: Simplify right side
    379,470.30x = 81,320,139,972.03
  5. Step 5: Solve for x
    x = 81,320,139,972.03/379,470.30
  6. Step 6: Final answer
    x = 214,299.09

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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.