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Finding the Fourth Proportional to 380,947.64, 525,712.40 and 219,836.20

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Solution

The fourth proportional to 380,947.64, 525,712.40 and 219,836.20 is: 303,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,947.64 : 525,712.40 = 219,836.20 : x
  2. Step 2: Convert to fraction form
    380,947.64/525,712.40 = 219,836.20/x
  3. Step 3: Cross multiply
    380,947.64x = 525,712.40 × 219,836.20
  4. Step 4: Simplify right side
    380,947.64x = 115,570,616,308.88
  5. Step 5: Solve for x
    x = 115,570,616,308.88/380,947.64
  6. Step 6: Final answer
    x = 303,376.64

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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.