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Finding the Fourth Proportional to 576,576, 864,643.68 and 276,971.20

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Solution

The fourth proportional to 576,576, 864,643.68 and 276,971.20 is: 415,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,576 : 864,643.68 = 276,971.20 : x
  2. Step 2: Convert to fraction form
    576,576/864,643.68 = 276,971.20/x
  3. Step 3: Cross multiply
    576,576x = 864,643.68 × 276,971.20
  4. Step 4: Simplify right side
    576,576x = 239,481,397,622.02
  5. Step 5: Solve for x
    x = 239,481,397,622.02/576,576
  6. Step 6: Final answer
    x = 415,350.96

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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.