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Finding the Fourth Proportional to 468,165.21, 646,070.19 and 264,224.73

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Solution

The fourth proportional to 468,165.21, 646,070.19 and 264,224.73 is: 364,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,165.21 : 646,070.19 = 264,224.73 : x
  2. Step 2: Convert to fraction form
    468,165.21/646,070.19 = 264,224.73/x
  3. Step 3: Cross multiply
    468,165.21x = 646,070.19 × 264,224.73
  4. Step 4: Simplify right side
    468,165.21x = 170,707,721,513.80
  5. Step 5: Solve for x
    x = 170,707,721,513.80/468,165.21
  6. Step 6: Final answer
    x = 364,631.37

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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.