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Finding the Fourth Proportional to 496,570.80, 744,863.14 and 141,584.96

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Solution

The fourth proportional to 496,570.80, 744,863.14 and 141,584.96 is: 212,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,570.80 : 744,863.14 = 141,584.96 : x
  2. Step 2: Convert to fraction form
    496,570.80/744,863.14 = 141,584.96/x
  3. Step 3: Cross multiply
    496,570.80x = 744,863.14 × 141,584.96
  4. Step 4: Simplify right side
    496,570.80x = 105,461,417,882.37
  5. Step 5: Solve for x
    x = 105,461,417,882.37/496,570.80
  6. Step 6: Final answer
    x = 212,379.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.