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Finding the Fourth Proportional to 307,260.42, 424,021.14 and 171,303

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Solution

The fourth proportional to 307,260.42, 424,021.14 and 171,303 is: 236,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,260.42 : 424,021.14 = 171,303 : x
  2. Step 2: Convert to fraction form
    307,260.42/424,021.14 = 171,303/x
  3. Step 3: Cross multiply
    307,260.42x = 424,021.14 × 171,303
  4. Step 4: Simplify right side
    307,260.42x = 72,636,093,345.42
  5. Step 5: Solve for x
    x = 72,636,093,345.42/307,260.42
  6. Step 6: Final answer
    x = 236,399.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.