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Finding the Fourth Proportional to 312,343.47, 468,316.99 and 264,974.86

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Solution

The fourth proportional to 312,343.47, 468,316.99 and 264,974.86 is: 397,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,343.47 : 468,316.99 = 264,974.86 : x
  2. Step 2: Convert to fraction form
    312,343.47/468,316.99 = 264,974.86/x
  3. Step 3: Cross multiply
    312,343.47x = 468,316.99 × 264,974.86
  4. Step 4: Simplify right side
    312,343.47x = 124,092,228,860.87
  5. Step 5: Solve for x
    x = 124,092,228,860.87/312,343.47
  6. Step 6: Final answer
    x = 397,294.14

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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.