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Finding the Fourth Proportional to 401,971.68, 554,747.85 and 265,771.44

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Solution

The fourth proportional to 401,971.68, 554,747.85 and 265,771.44 is: 366,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,971.68 : 554,747.85 = 265,771.44 : x
  2. Step 2: Convert to fraction form
    401,971.68/554,747.85 = 265,771.44/x
  3. Step 3: Cross multiply
    401,971.68x = 554,747.85 × 265,771.44
  4. Step 4: Simplify right side
    401,971.68x = 147,436,134,931.40
  5. Step 5: Solve for x
    x = 147,436,134,931.40/401,971.68
  6. Step 6: Final answer
    x = 366,782.39

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Why These Related Problems?

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