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Finding the Fourth Proportional to 369,232.31, 509,541.30 and 214,213.70

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Solution

The fourth proportional to 369,232.31, 509,541.30 and 214,213.70 is: 295,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,232.31 : 509,541.30 = 214,213.70 : x
  2. Step 2: Convert to fraction form
    369,232.31/509,541.30 = 214,213.70/x
  3. Step 3: Cross multiply
    369,232.31x = 509,541.30 × 214,213.70
  4. Step 4: Simplify right side
    369,232.31x = 109,150,727,175.81
  5. Step 5: Solve for x
    x = 109,150,727,175.81/369,232.31
  6. Step 6: Final answer
    x = 295,615.32

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