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Finding the Fourth Proportional to 567,243.56, 782,812.53 and 312,611.15

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Solution

The fourth proportional to 567,243.56, 782,812.53 and 312,611.15 is: 431,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,243.56 : 782,812.53 = 312,611.15 : x
  2. Step 2: Convert to fraction form
    567,243.56/782,812.53 = 312,611.15/x
  3. Step 3: Cross multiply
    567,243.56x = 782,812.53 × 312,611.15
  4. Step 4: Simplify right side
    567,243.56x = 244,715,927,194.74
  5. Step 5: Solve for x
    x = 244,715,927,194.74/567,243.56
  6. Step 6: Final answer
    x = 431,412.44

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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.