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Finding the Fourth Proportional to 613,142.94, 919,948.50 and 239,195.10

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Solution

The fourth proportional to 613,142.94, 919,948.50 and 239,195.10 is: 358,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,142.94 : 919,948.50 = 239,195.10 : x
  2. Step 2: Convert to fraction form
    613,142.94/919,948.50 = 239,195.10/x
  3. Step 3: Cross multiply
    613,142.94x = 919,948.50 × 239,195.10
  4. Step 4: Simplify right side
    613,142.94x = 220,047,173,452.35
  5. Step 5: Solve for x
    x = 220,047,173,452.35/613,142.94
  6. Step 6: Final answer
    x = 358,883.97

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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.