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Finding the Fourth Proportional to 299,996, 450,017.90 and 100,317.64

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Solution

The fourth proportional to 299,996, 450,017.90 and 100,317.64 is: 150,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,996 : 450,017.90 = 100,317.64 : x
  2. Step 2: Convert to fraction form
    299,996/450,017.90 = 100,317.64/x
  3. Step 3: Cross multiply
    299,996x = 450,017.90 × 100,317.64
  4. Step 4: Simplify right side
    299,996x = 45,144,733,685.76
  5. Step 5: Solve for x
    x = 45,144,733,685.76/299,996
  6. Step 6: Final answer
    x = 150,484.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.