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Finding the Fourth Proportional to 367,542.86, 507,264 and 224,385.89

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Solution

The fourth proportional to 367,542.86, 507,264 and 224,385.89 is: 309,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,542.86 : 507,264 = 224,385.89 : x
  2. Step 2: Convert to fraction form
    367,542.86/507,264 = 224,385.89/x
  3. Step 3: Cross multiply
    367,542.86x = 507,264 × 224,385.89
  4. Step 4: Simplify right side
    367,542.86x = 113,822,884,104.96
  5. Step 5: Solve for x
    x = 113,822,884,104.96/367,542.86
  6. Step 6: Final answer
    x = 309,686.02

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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.