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Finding the Fourth Proportional to 604,106.10, 906,257.16 and 199,177.38

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Solution

The fourth proportional to 604,106.10, 906,257.16 and 199,177.38 is: 298,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,106.10 : 906,257.16 = 199,177.38 : x
  2. Step 2: Convert to fraction form
    604,106.10/906,257.16 = 199,177.38/x
  3. Step 3: Cross multiply
    604,106.10x = 906,257.16 × 199,177.38
  4. Step 4: Simplify right side
    604,106.10x = 180,505,926,735.04
  5. Step 5: Solve for x
    x = 180,505,926,735.04/604,106.10
  6. Step 6: Final answer
    x = 298,798.38

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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.