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Finding the Fourth Proportional to 301,095.78, 414,469.26 and 260,241.27

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Solution

The fourth proportional to 301,095.78, 414,469.26 and 260,241.27 is: 358,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,095.78 : 414,469.26 = 260,241.27 : x
  2. Step 2: Convert to fraction form
    301,095.78/414,469.26 = 260,241.27/x
  3. Step 3: Cross multiply
    301,095.78x = 414,469.26 × 260,241.27
  4. Step 4: Simplify right side
    301,095.78x = 107,862,006,598.36
  5. Step 5: Solve for x
    x = 107,862,006,598.36/301,095.78
  6. Step 6: Final answer
    x = 358,231.55

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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.