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Finding the Fourth Proportional to 301,784.42, 452,674.86 and 77,144.54

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Solution

The fourth proportional to 301,784.42, 452,674.86 and 77,144.54 is: 115,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,784.42 : 452,674.86 = 77,144.54 : x
  2. Step 2: Convert to fraction form
    301,784.42/452,674.86 = 77,144.54/x
  3. Step 3: Cross multiply
    301,784.42x = 452,674.86 × 77,144.54
  4. Step 4: Simplify right side
    301,784.42x = 34,921,393,844.26
  5. Step 5: Solve for x
    x = 34,921,393,844.26/301,784.42
  6. Step 6: Final answer
    x = 115,716.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.