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Finding the Fourth Proportional to 398,598.78, 549,755.28 and 255,372.24

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Solution

The fourth proportional to 398,598.78, 549,755.28 and 255,372.24 is: 352,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,598.78 : 549,755.28 = 255,372.24 : x
  2. Step 2: Convert to fraction form
    398,598.78/549,755.28 = 255,372.24/x
  3. Step 3: Cross multiply
    398,598.78x = 549,755.28 × 255,372.24
  4. Step 4: Simplify right side
    398,598.78x = 140,392,237,305.43
  5. Step 5: Solve for x
    x = 140,392,237,305.43/398,598.78
  6. Step 6: Final answer
    x = 352,214.42

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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.