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Finding the Fourth Proportional to 304,083.36, 456,199.20 and 214,301.16

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Solution

The fourth proportional to 304,083.36, 456,199.20 and 214,301.16 is: 321,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,083.36 : 456,199.20 = 214,301.16 : x
  2. Step 2: Convert to fraction form
    304,083.36/456,199.20 = 214,301.16/x
  3. Step 3: Cross multiply
    304,083.36x = 456,199.20 × 214,301.16
  4. Step 4: Simplify right side
    304,083.36x = 97,764,017,751.07
  5. Step 5: Solve for x
    x = 97,764,017,751.07/304,083.36
  6. Step 6: Final answer
    x = 321,504.00

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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.