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Finding the Fourth Proportional to 419,556, 578,967.03 and 238,243.98

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Solution

The fourth proportional to 419,556, 578,967.03 and 238,243.98 is: 328,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,556 : 578,967.03 = 238,243.98 : x
  2. Step 2: Convert to fraction form
    419,556/578,967.03 = 238,243.98/x
  3. Step 3: Cross multiply
    419,556x = 578,967.03 × 238,243.98
  4. Step 4: Simplify right side
    419,556x = 137,935,409,515.98
  5. Step 5: Solve for x
    x = 137,935,409,515.98/419,556
  6. Step 6: Final answer
    x = 328,765.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.