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Finding the Fourth Proportional to 367,544.86, 507,266.76 and 224,387.89

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Solution

The fourth proportional to 367,544.86, 507,266.76 and 224,387.89 is: 309,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,544.86 : 507,266.76 = 224,387.89 : x
  2. Step 2: Convert to fraction form
    367,544.86/507,266.76 = 224,387.89/x
  3. Step 3: Cross multiply
    367,544.86x = 507,266.76 × 224,387.89
  4. Step 4: Simplify right side
    367,544.86x = 113,824,517,943.54
  5. Step 5: Solve for x
    x = 113,824,517,943.54/367,544.86
  6. Step 6: Final answer
    x = 309,688.78

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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.