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Finding the Fourth Proportional to 463,917.06, 640,195.13 and 270,312.71

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Solution

The fourth proportional to 463,917.06, 640,195.13 and 270,312.71 is: 373,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,917.06 : 640,195.13 = 270,312.71 : x
  2. Step 2: Convert to fraction form
    463,917.06/640,195.13 = 270,312.71/x
  3. Step 3: Cross multiply
    463,917.06x = 640,195.13 × 270,312.71
  4. Step 4: Simplify right side
    463,917.06x = 173,052,880,519.10
  5. Step 5: Solve for x
    x = 173,052,880,519.10/463,917.06
  6. Step 6: Final answer
    x = 373,025.47

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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.