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Finding the Fourth Proportional to 468,166.71, 646,072.26 and 264,226.23

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Solution

The fourth proportional to 468,166.71, 646,072.26 and 264,226.23 is: 364,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166.71 : 646,072.26 = 264,226.23 : x
  2. Step 2: Convert to fraction form
    468,166.71/646,072.26 = 264,226.23/x
  3. Step 3: Cross multiply
    468,166.71x = 646,072.26 × 264,226.23
  4. Step 4: Simplify right side
    468,166.71x = 170,709,237,567.38
  5. Step 5: Solve for x
    x = 170,709,237,567.38/468,166.71
  6. Step 6: Final answer
    x = 364,633.44

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1.5x scale

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.