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Finding the Fourth Proportional to 340,974.84, 470,746.92 and 303,144.44

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Solution

The fourth proportional to 340,974.84, 470,746.92 and 303,144.44 is: 418,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,974.84 : 470,746.92 = 303,144.44 : x
  2. Step 2: Convert to fraction form
    340,974.84/470,746.92 = 303,144.44/x
  3. Step 3: Cross multiply
    340,974.84x = 470,746.92 × 303,144.44
  4. Step 4: Simplify right side
    340,974.84x = 142,704,311,445.13
  5. Step 5: Solve for x
    x = 142,704,311,445.13/340,974.84
  6. Step 6: Final answer
    x = 418,518.60

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Why These Related Problems?

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