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Finding the Fourth Proportional to 299,214.40, 448,821.60 and 287,404.60

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Solution

The fourth proportional to 299,214.40, 448,821.60 and 287,404.60 is: 431,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,214.40 : 448,821.60 = 287,404.60 : x
  2. Step 2: Convert to fraction form
    299,214.40/448,821.60 = 287,404.60/x
  3. Step 3: Cross multiply
    299,214.40x = 448,821.60 × 287,404.60
  4. Step 4: Simplify right side
    299,214.40x = 128,993,392,419.36
  5. Step 5: Solve for x
    x = 128,993,392,419.36/299,214.40
  6. Step 6: Final answer
    x = 431,106.90

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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.