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Finding the Fourth Proportional to 419,463, 578,902.68 and 238,223.88

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Solution

The fourth proportional to 419,463, 578,902.68 and 238,223.88 is: 328,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,463 : 578,902.68 = 238,223.88 : x
  2. Step 2: Convert to fraction form
    419,463/578,902.68 = 238,223.88/x
  3. Step 3: Cross multiply
    419,463x = 578,902.68 × 238,223.88
  4. Step 4: Simplify right side
    419,463x = 137,908,442,572.00
  5. Step 5: Solve for x
    x = 137,908,442,572.00/419,463
  6. Step 6: Final answer
    x = 328,773.80

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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.