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Finding the Fourth Proportional to 449,196.53, 674,146.94 and 313,377.35

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Solution

The fourth proportional to 449,196.53, 674,146.94 and 313,377.35 is: 470,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,196.53 : 674,146.94 = 313,377.35 : x
  2. Step 2: Convert to fraction form
    449,196.53/674,146.94 = 313,377.35/x
  3. Step 3: Cross multiply
    449,196.53x = 674,146.94 × 313,377.35
  4. Step 4: Simplify right side
    449,196.53x = 211,262,376,630.19
  5. Step 5: Solve for x
    x = 211,262,376,630.19/449,196.53
  6. Step 6: Final answer
    x = 470,311.69

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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.