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Finding the Fourth Proportional to 345,697.44, 477,045.36 and 194,804.16

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Solution

The fourth proportional to 345,697.44, 477,045.36 and 194,804.16 is: 268,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,697.44 : 477,045.36 = 194,804.16 : x
  2. Step 2: Convert to fraction form
    345,697.44/477,045.36 = 194,804.16/x
  3. Step 3: Cross multiply
    345,697.44x = 477,045.36 × 194,804.16
  4. Step 4: Simplify right side
    345,697.44x = 92,930,420,636.70
  5. Step 5: Solve for x
    x = 92,930,420,636.70/345,697.44
  6. Step 6: Final answer
    x = 268,820.10

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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.