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Finding the Fourth Proportional to 567,175.50, 782,718.66 and 312,543.09

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Solution

The fourth proportional to 567,175.50, 782,718.66 and 312,543.09 is: 431,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,175.50 : 782,718.66 = 312,543.09 : x
  2. Step 2: Convert to fraction form
    567,175.50/782,718.66 = 312,543.09/x
  3. Step 3: Cross multiply
    567,175.50x = 782,718.66 × 312,543.09
  4. Step 4: Simplify right side
    567,175.50x = 244,633,308,597.06
  5. Step 5: Solve for x
    x = 244,633,308,597.06/567,175.50
  6. Step 6: Final answer
    x = 431,318.54

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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.