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Finding the Fourth Proportional to 375,494.64, 518,187.96 and 224,562.48

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Solution

The fourth proportional to 375,494.64, 518,187.96 and 224,562.48 is: 309,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,494.64 : 518,187.96 = 224,562.48 : x
  2. Step 2: Convert to fraction form
    375,494.64/518,187.96 = 224,562.48/x
  3. Step 3: Cross multiply
    375,494.64x = 518,187.96 × 224,562.48
  4. Step 4: Simplify right side
    375,494.64x = 116,365,573,403.74
  5. Step 5: Solve for x
    x = 116,365,573,403.74/375,494.64
  6. Step 6: Final answer
    x = 309,899.43

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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.