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Finding the Fourth Proportional to 307,738, 424,679.72 and 166,426

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Solution

The fourth proportional to 307,738, 424,679.72 and 166,426 is: 229,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,738 : 424,679.72 = 166,426 : x
  2. Step 2: Convert to fraction form
    307,738/424,679.72 = 166,426/x
  3. Step 3: Cross multiply
    307,738x = 424,679.72 × 166,426
  4. Step 4: Simplify right side
    307,738x = 70,677,747,080.72
  5. Step 5: Solve for x
    x = 70,677,747,080.72/307,738
  6. Step 6: Final answer
    x = 229,668.57

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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.