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Finding the Fourth Proportional to 415,021.64, 622,088.98 and 296,333.15

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Solution

The fourth proportional to 415,021.64, 622,088.98 and 296,333.15 is: 444,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,021.64 : 622,088.98 = 296,333.15 : x
  2. Step 2: Convert to fraction form
    415,021.64/622,088.98 = 296,333.15/x
  3. Step 3: Cross multiply
    415,021.64x = 622,088.98 × 296,333.15
  4. Step 4: Simplify right side
    415,021.64x = 184,345,587,023.69
  5. Step 5: Solve for x
    x = 184,345,587,023.69/415,021.64
  6. Step 6: Final answer
    x = 444,183.07

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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.