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Finding the Fourth Proportional to 299,165.40, 448,748.10 and 287,355.60

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Solution

The fourth proportional to 299,165.40, 448,748.10 and 287,355.60 is: 431,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,165.40 : 448,748.10 = 287,355.60 : x
  2. Step 2: Convert to fraction form
    299,165.40/448,748.10 = 287,355.60/x
  3. Step 3: Cross multiply
    299,165.40x = 448,748.10 × 287,355.60
  4. Step 4: Simplify right side
    299,165.40x = 128,950,279,524.36
  5. Step 5: Solve for x
    x = 128,950,279,524.36/299,165.40
  6. Step 6: Final answer
    x = 431,033.40

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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.