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Finding the Fourth Proportional to 468,820.98, 646,940.99 and 264,880.46

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Solution

The fourth proportional to 468,820.98, 646,940.99 and 264,880.46 is: 365,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,820.98 : 646,940.99 = 264,880.46 : x
  2. Step 2: Convert to fraction form
    468,820.98/646,940.99 = 264,880.46/x
  3. Step 3: Cross multiply
    468,820.98x = 646,940.99 × 264,880.46
  4. Step 4: Simplify right side
    468,820.98x = 171,362,029,303.61
  5. Step 5: Solve for x
    x = 171,362,029,303.61/468,820.98
  6. Step 6: Final answer
    x = 365,516.98

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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.