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Finding the Fourth Proportional to 419,950.80, 579,366.68 and 258,525.36

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Solution

The fourth proportional to 419,950.80, 579,366.68 and 258,525.36 is: 356,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,950.80 : 579,366.68 = 258,525.36 : x
  2. Step 2: Convert to fraction form
    419,950.80/579,366.68 = 258,525.36/x
  3. Step 3: Cross multiply
    419,950.80x = 579,366.68 × 258,525.36
  4. Step 4: Simplify right side
    419,950.80x = 149,780,978,226.38
  5. Step 5: Solve for x
    x = 149,780,978,226.38/419,950.80
  6. Step 6: Final answer
    x = 356,663.16

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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.