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Finding the Fourth Proportional to 431,770.19, 595,814.74 and 238,166.21

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Solution

The fourth proportional to 431,770.19, 595,814.74 and 238,166.21 is: 328,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,770.19 : 595,814.74 = 238,166.21 : x
  2. Step 2: Convert to fraction form
    431,770.19/595,814.74 = 238,166.21/x
  3. Step 3: Cross multiply
    431,770.19x = 595,814.74 × 238,166.21
  4. Step 4: Simplify right side
    431,770.19x = 141,902,939,382.06
  5. Step 5: Solve for x
    x = 141,902,939,382.06/431,770.19
  6. Step 6: Final answer
    x = 328,653.86

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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.