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Finding the Fourth Proportional to 369,339.56, 509,729.09 and 214,325

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Solution

The fourth proportional to 369,339.56, 509,729.09 and 214,325 is: 295,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,339.56 : 509,729.09 = 214,325 : x
  2. Step 2: Convert to fraction form
    369,339.56/509,729.09 = 214,325/x
  3. Step 3: Cross multiply
    369,339.56x = 509,729.09 × 214,325
  4. Step 4: Simplify right side
    369,339.56x = 109,247,687,214.25
  5. Step 5: Solve for x
    x = 109,247,687,214.25/369,339.56
  6. Step 6: Final answer
    x = 295,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.