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Finding the Fourth Proportional to 468,120, 646,022.22 and 264,220.56

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Solution

The fourth proportional to 468,120, 646,022.22 and 264,220.56 is: 364,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,120 : 646,022.22 = 264,220.56 : x
  2. Step 2: Convert to fraction form
    468,120/646,022.22 = 264,220.56/x
  3. Step 3: Cross multiply
    468,120x = 646,022.22 × 264,220.56
  4. Step 4: Simplify right side
    468,120x = 170,692,352,740.84
  5. Step 5: Solve for x
    x = 170,692,352,740.84/468,120
  6. Step 6: Final answer
    x = 364,633.75

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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.