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Finding the Fourth Proportional to 468,164.15, 646,068.74 and 264,223.67

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Solution

The fourth proportional to 468,164.15, 646,068.74 and 264,223.67 is: 364,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164.15 : 646,068.74 = 264,223.67 : x
  2. Step 2: Convert to fraction form
    468,164.15/646,068.74 = 264,223.67/x
  3. Step 3: Cross multiply
    468,164.15x = 646,068.74 × 264,223.67
  4. Step 4: Simplify right side
    468,164.15x = 170,706,650,324.73
  5. Step 5: Solve for x
    x = 170,706,650,324.73/468,164.15
  6. Step 6: Final answer
    x = 364,629.91

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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.