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Finding the Fourth Proportional to 301,096.78, 414,470.64 and 260,242.27

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Solution

The fourth proportional to 301,096.78, 414,470.64 and 260,242.27 is: 358,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.78 : 414,470.64 = 260,242.27 : x
  2. Step 2: Convert to fraction form
    301,096.78/414,470.64 = 260,242.27/x
  3. Step 3: Cross multiply
    301,096.78x = 414,470.64 × 260,242.27
  4. Step 4: Simplify right side
    301,096.78x = 107,862,780,201.95
  5. Step 5: Solve for x
    x = 107,862,780,201.95/301,096.78
  6. Step 6: Final answer
    x = 358,232.92

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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.