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Finding the Fourth Proportional to 301,342.88, 415,825.67 and 178,814.14

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Solution

The fourth proportional to 301,342.88, 415,825.67 and 178,814.14 is: 246,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.88 : 415,825.67 = 178,814.14 : x
  2. Step 2: Convert to fraction form
    301,342.88/415,825.67 = 178,814.14/x
  3. Step 3: Cross multiply
    301,342.88x = 415,825.67 × 178,814.14
  4. Step 4: Simplify right side
    301,342.88x = 74,355,509,570.97
  5. Step 5: Solve for x
    x = 74,355,509,570.97/301,342.88
  6. Step 6: Final answer
    x = 246,747.19

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1.5x scale

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.