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Finding the Fourth Proportional to 299,280.95, 448,748.63 and 204,625.77

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Solution

The fourth proportional to 299,280.95, 448,748.63 and 204,625.77 is: 306,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,280.95 : 448,748.63 = 204,625.77 : x
  2. Step 2: Convert to fraction form
    299,280.95/448,748.63 = 204,625.77/x
  3. Step 3: Cross multiply
    299,280.95x = 448,748.63 × 204,625.77
  4. Step 4: Simplify right side
    299,280.95x = 91,825,533,849.22
  5. Step 5: Solve for x
    x = 91,825,533,849.22/299,280.95
  6. Step 6: Final answer
    x = 306,820.51

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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.