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Finding the Fourth Proportional to 464,447.10, 640,943.64 and 347,954.16

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Solution

The fourth proportional to 464,447.10, 640,943.64 and 347,954.16 is: 480,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,447.10 : 640,943.64 = 347,954.16 : x
  2. Step 2: Convert to fraction form
    464,447.10/640,943.64 = 347,954.16/x
  3. Step 3: Cross multiply
    464,447.10x = 640,943.64 × 347,954.16
  4. Step 4: Simplify right side
    464,447.10x = 223,019,005,863.54
  5. Step 5: Solve for x
    x = 223,019,005,863.54/464,447.10
  6. Step 6: Final answer
    x = 480,181.72

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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.