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Finding the Fourth Proportional to 456,064.90, 684,097.35 and 449,844.10

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Solution

The fourth proportional to 456,064.90, 684,097.35 and 449,844.10 is: 674,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,064.90 : 684,097.35 = 449,844.10 : x
  2. Step 2: Convert to fraction form
    456,064.90/684,097.35 = 449,844.10/x
  3. Step 3: Cross multiply
    456,064.90x = 684,097.35 × 449,844.10
  4. Step 4: Simplify right side
    456,064.90x = 307,737,156,723.14
  5. Step 5: Solve for x
    x = 307,737,156,723.14/456,064.90
  6. Step 6: Final answer
    x = 674,766.15

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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.