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Finding the Fourth Proportional to 299,265.63, 448,390.95 and 180,687.90

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Solution

The fourth proportional to 299,265.63, 448,390.95 and 180,687.90 is: 270,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,265.63 : 448,390.95 = 180,687.90 : x
  2. Step 2: Convert to fraction form
    299,265.63/448,390.95 = 180,687.90/x
  3. Step 3: Cross multiply
    299,265.63x = 448,390.95 × 180,687.90
  4. Step 4: Simplify right side
    299,265.63x = 81,018,819,134.51
  5. Step 5: Solve for x
    x = 81,018,819,134.51/299,265.63
  6. Step 6: Final answer
    x = 270,725.44

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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.