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Finding the Fourth Proportional to 461,033.91, 691,384.50 and 194,814.99

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Solution

The fourth proportional to 461,033.91, 691,384.50 and 194,814.99 is: 292,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,033.91 : 691,384.50 = 194,814.99 : x
  2. Step 2: Convert to fraction form
    461,033.91/691,384.50 = 194,814.99/x
  3. Step 3: Cross multiply
    461,033.91x = 691,384.50 × 194,814.99
  4. Step 4: Simplify right side
    461,033.91x = 134,692,064,453.66
  5. Step 5: Solve for x
    x = 134,692,064,453.66/461,033.91
  6. Step 6: Final answer
    x = 292,152.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.