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Finding the Fourth Proportional to 301,858.49, 452,803.24 and 77,220.87

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Solution

The fourth proportional to 301,858.49, 452,803.24 and 77,220.87 is: 115,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,858.49 : 452,803.24 = 77,220.87 : x
  2. Step 2: Convert to fraction form
    301,858.49/452,803.24 = 77,220.87/x
  3. Step 3: Cross multiply
    301,858.49x = 452,803.24 × 77,220.87
  4. Step 4: Simplify right side
    301,858.49x = 34,965,860,131.62
  5. Step 5: Solve for x
    x = 34,965,860,131.62/301,858.49
  6. Step 6: Final answer
    x = 115,835.27

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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.