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Finding the Fourth Proportional to 567,176.50, 782,720.04 and 312,544.09

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Solution

The fourth proportional to 567,176.50, 782,720.04 and 312,544.09 is: 431,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,176.50 : 782,720.04 = 312,544.09 : x
  2. Step 2: Convert to fraction form
    567,176.50/782,720.04 = 312,544.09/x
  3. Step 3: Cross multiply
    567,176.50x = 782,720.04 × 312,544.09
  4. Step 4: Simplify right side
    567,176.50x = 244,634,522,626.56
  5. Step 5: Solve for x
    x = 244,634,522,626.56/567,176.50
  6. Step 6: Final answer
    x = 431,319.92

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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.