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Finding the Fourth Proportional to 215,206.40, 322,809.60 and 205,529.60

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Solution

The fourth proportional to 215,206.40, 322,809.60 and 205,529.60 is: 308,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,206.40 : 322,809.60 = 205,529.60 : x
  2. Step 2: Convert to fraction form
    215,206.40/322,809.60 = 205,529.60/x
  3. Step 3: Cross multiply
    215,206.40x = 322,809.60 × 205,529.60
  4. Step 4: Simplify right side
    215,206.40x = 66,346,927,964.16
  5. Step 5: Solve for x
    x = 66,346,927,964.16/215,206.40
  6. Step 6: Final answer
    x = 308,294.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.