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Finding the Fourth Proportional to 367,543.86, 507,265.38 and 224,386.89

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Solution

The fourth proportional to 367,543.86, 507,265.38 and 224,386.89 is: 309,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,543.86 : 507,265.38 = 224,386.89 : x
  2. Step 2: Convert to fraction form
    367,543.86/507,265.38 = 224,386.89/x
  3. Step 3: Cross multiply
    367,543.86x = 507,265.38 × 224,386.89
  4. Step 4: Simplify right side
    367,543.86x = 113,823,701,022.87
  5. Step 5: Solve for x
    x = 113,823,701,022.87/367,543.86
  6. Step 6: Final answer
    x = 309,687.40

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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.