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Finding the Fourth Proportional to 413,120.64, 618,117.12 and 244,731.36

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Solution

The fourth proportional to 413,120.64, 618,117.12 and 244,731.36 is: 366,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,120.64 : 618,117.12 = 244,731.36 : x
  2. Step 2: Convert to fraction form
    413,120.64/618,117.12 = 244,731.36/x
  3. Step 3: Cross multiply
    413,120.64x = 618,117.12 × 244,731.36
  4. Step 4: Simplify right side
    413,120.64x = 151,272,643,416.88
  5. Step 5: Solve for x
    x = 151,272,643,416.88/413,120.64
  6. Step 6: Final answer
    x = 366,170.63

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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.