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Finding the Fourth Proportional to 299,224.40, 448,613.40 and 180,870.80

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Solution

The fourth proportional to 299,224.40, 448,613.40 and 180,870.80 is: 271,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,224.40 : 448,613.40 = 180,870.80 : x
  2. Step 2: Convert to fraction form
    299,224.40/448,613.40 = 180,870.80/x
  3. Step 3: Cross multiply
    299,224.40x = 448,613.40 × 180,870.80
  4. Step 4: Simplify right side
    299,224.40x = 81,141,064,548.72
  5. Step 5: Solve for x
    x = 81,141,064,548.72/299,224.40
  6. Step 6: Final answer
    x = 271,171.28

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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.