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Finding the Fourth Proportional to 419,129.10, 578,382.06 and 237,830.22

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Solution

The fourth proportional to 419,129.10, 578,382.06 and 237,830.22 is: 328,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,129.10 : 578,382.06 = 237,830.22 : x
  2. Step 2: Convert to fraction form
    419,129.10/578,382.06 = 237,830.22/x
  3. Step 3: Cross multiply
    419,129.10x = 578,382.06 × 237,830.22
  4. Step 4: Simplify right side
    419,129.10x = 137,556,732,573.85
  5. Step 5: Solve for x
    x = 137,556,732,573.85/419,129.10
  6. Step 6: Final answer
    x = 328,196.57

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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.