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Finding the Fourth Proportional to 471,453.36, 650,728.08 and 299,454

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Solution

The fourth proportional to 471,453.36, 650,728.08 and 299,454 is: 413,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,453.36 : 650,728.08 = 299,454 : x
  2. Step 2: Convert to fraction form
    471,453.36/650,728.08 = 299,454/x
  3. Step 3: Cross multiply
    471,453.36x = 650,728.08 × 299,454
  4. Step 4: Simplify right side
    471,453.36x = 194,863,126,468.32
  5. Step 5: Solve for x
    x = 194,863,126,468.32/471,453.36
  6. Step 6: Final answer
    x = 413,324.29

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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.