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Finding the Fourth Proportional to 451,386.24, 677,520 and 214,892.16

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Solution

The fourth proportional to 451,386.24, 677,520 and 214,892.16 is: 322,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,386.24 : 677,520 = 214,892.16 : x
  2. Step 2: Convert to fraction form
    451,386.24/677,520 = 214,892.16/x
  3. Step 3: Cross multiply
    451,386.24x = 677,520 × 214,892.16
  4. Step 4: Simplify right side
    451,386.24x = 145,593,736,243.20
  5. Step 5: Solve for x
    x = 145,593,736,243.20/451,386.24
  6. Step 6: Final answer
    x = 322,548.02

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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.