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Finding the Fourth Proportional to 346,297, 477,897.34 and 191,247.80

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Solution

The fourth proportional to 346,297, 477,897.34 and 191,247.80 is: 263,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,297 : 477,897.34 = 191,247.80 : x
  2. Step 2: Convert to fraction form
    346,297/477,897.34 = 191,247.80/x
  3. Step 3: Cross multiply
    346,297x = 477,897.34 × 191,247.80
  4. Step 4: Simplify right side
    346,297x = 91,396,814,900.85
  5. Step 5: Solve for x
    x = 91,396,814,900.85/346,297
  6. Step 6: Final answer
    x = 263,926.09

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