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Finding the Fourth Proportional to 549,108.36, 824,195.16 and 264,998.87

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Solution

The fourth proportional to 549,108.36, 824,195.16 and 264,998.87 is: 397,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,108.36 : 824,195.16 = 264,998.87 : x
  2. Step 2: Convert to fraction form
    549,108.36/824,195.16 = 264,998.87/x
  3. Step 3: Cross multiply
    549,108.36x = 824,195.16 × 264,998.87
  4. Step 4: Simplify right side
    549,108.36x = 218,410,781,938.49
  5. Step 5: Solve for x
    x = 218,410,781,938.49/549,108.36
  6. Step 6: Final answer
    x = 397,755.34

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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.