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Finding the Fourth Proportional to 634,506.24, 950,490.40 and 381,647.12

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Solution

The fourth proportional to 634,506.24, 950,490.40 and 381,647.12 is: 571,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,506.24 : 950,490.40 = 381,647.12 : x
  2. Step 2: Convert to fraction form
    634,506.24/950,490.40 = 381,647.12/x
  3. Step 3: Cross multiply
    634,506.24x = 950,490.40 × 381,647.12
  4. Step 4: Simplify right side
    634,506.24x = 362,751,923,747.65
  5. Step 5: Solve for x
    x = 362,751,923,747.65/634,506.24
  6. Step 6: Final answer
    x = 571,707.42

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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.