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Finding the Fourth Proportional to 415,022.64, 622,090.48 and 296,334.15

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Solution

The fourth proportional to 415,022.64, 622,090.48 and 296,334.15 is: 444,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.64 : 622,090.48 = 296,334.15 : x
  2. Step 2: Convert to fraction form
    415,022.64/622,090.48 = 296,334.15/x
  3. Step 3: Cross multiply
    415,022.64x = 622,090.48 × 296,334.15
  4. Step 4: Simplify right side
    415,022.64x = 184,346,653,613.89
  5. Step 5: Solve for x
    x = 184,346,653,613.89/415,022.64
  6. Step 6: Final answer
    x = 444,184.57

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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.