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Finding the Fourth Proportional to 736,794, 1,105,191 and 238,158

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Solution

The fourth proportional to 736,794, 1,105,191 and 238,158 is: 357,237

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,794 : 1,105,191 = 238,158 : x
  2. Step 2: Convert to fraction form
    736,794/1,105,191 = 238,158/x
  3. Step 3: Cross multiply
    736,794x = 1,105,191 × 238,158
  4. Step 4: Simplify right side
    736,794x = 263,210,078,178
  5. Step 5: Solve for x
    x = 263,210,078,178/736,794
  6. Step 6: Final answer
    x = 357,237

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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.