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Finding the Fourth Proportional to 419,196.84, 578,458.41 and 237,908.76

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Solution

The fourth proportional to 419,196.84, 578,458.41 and 237,908.76 is: 328,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,196.84 : 578,458.41 = 237,908.76 : x
  2. Step 2: Convert to fraction form
    419,196.84/578,458.41 = 237,908.76/x
  3. Step 3: Cross multiply
    419,196.84x = 578,458.41 × 237,908.76
  4. Step 4: Simplify right side
    419,196.84x = 137,620,323,034.67
  5. Step 5: Solve for x
    x = 137,620,323,034.67/419,196.84
  6. Step 6: Final answer
    x = 328,295.23

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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.