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Finding the Fourth Proportional to 268,466, 401,822.76 and 197,369.80

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Solution

The fourth proportional to 268,466, 401,822.76 and 197,369.80 is: 295,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,466 : 401,822.76 = 197,369.80 : x
  2. Step 2: Convert to fraction form
    268,466/401,822.76 = 197,369.80/x
  3. Step 3: Cross multiply
    268,466x = 401,822.76 × 197,369.80
  4. Step 4: Simplify right side
    268,466x = 79,307,677,776.65
  5. Step 5: Solve for x
    x = 79,307,677,776.65/268,466
  6. Step 6: Final answer
    x = 295,410.51

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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.