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Finding the Fourth Proportional to 301,344.88, 415,828.43 and 178,816.14

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Solution

The fourth proportional to 301,344.88, 415,828.43 and 178,816.14 is: 246,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.88 : 415,828.43 = 178,816.14 : x
  2. Step 2: Convert to fraction form
    301,344.88/415,828.43 = 178,816.14/x
  3. Step 3: Cross multiply
    301,344.88x = 415,828.43 × 178,816.14
  4. Step 4: Simplify right side
    301,344.88x = 74,356,834,754.86
  5. Step 5: Solve for x
    x = 74,356,834,754.86/301,344.88
  6. Step 6: Final answer
    x = 246,749.95

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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.