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Finding the Fourth Proportional to 449,286, 620,014.68 and 290,310

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Solution

The fourth proportional to 449,286, 620,014.68 and 290,310 is: 400,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,286 : 620,014.68 = 290,310 : x
  2. Step 2: Convert to fraction form
    449,286/620,014.68 = 290,310/x
  3. Step 3: Cross multiply
    449,286x = 620,014.68 × 290,310
  4. Step 4: Simplify right side
    449,286x = 179,996,461,750.80
  5. Step 5: Solve for x
    x = 179,996,461,750.80/449,286
  6. Step 6: Final answer
    x = 400,627.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.