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Finding the Fourth Proportional to 299,326.30, 448,973.03 and 180,965.86

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Solution

The fourth proportional to 299,326.30, 448,973.03 and 180,965.86 is: 271,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,326.30 : 448,973.03 = 180,965.86 : x
  2. Step 2: Convert to fraction form
    299,326.30/448,973.03 = 180,965.86/x
  3. Step 3: Cross multiply
    299,326.30x = 448,973.03 × 180,965.86
  4. Step 4: Simplify right side
    299,326.30x = 81,248,789,820.74
  5. Step 5: Solve for x
    x = 81,248,789,820.74/299,326.30
  6. Step 6: Final answer
    x = 271,438.86

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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.