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Finding the Fourth Proportional to 624,914, 937,530.84 and 181,682

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Solution

The fourth proportional to 624,914, 937,530.84 and 181,682 is: 272,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,914 : 937,530.84 = 181,682 : x
  2. Step 2: Convert to fraction form
    624,914/937,530.84 = 181,682/x
  3. Step 3: Cross multiply
    624,914x = 937,530.84 × 181,682
  4. Step 4: Simplify right side
    624,914x = 170,332,478,072.88
  5. Step 5: Solve for x
    x = 170,332,478,072.88/624,914
  6. Step 6: Final answer
    x = 272,569.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.