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Finding the Fourth Proportional to 456,401.70, 684,602.55 and 449,403.30

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Solution

The fourth proportional to 456,401.70, 684,602.55 and 449,403.30 is: 674,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,401.70 : 684,602.55 = 449,403.30 : x
  2. Step 2: Convert to fraction form
    456,401.70/684,602.55 = 449,403.30/x
  3. Step 3: Cross multiply
    456,401.70x = 684,602.55 × 449,403.30
  4. Step 4: Simplify right side
    456,401.70x = 307,662,645,158.42
  5. Step 5: Solve for x
    x = 307,662,645,158.42/456,401.70
  6. Step 6: Final answer
    x = 674,104.95

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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.