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Finding the Fourth Proportional to 468,158.65, 646,077.27 and 264,216.69

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Solution

The fourth proportional to 468,158.65, 646,077.27 and 264,216.69 is: 364,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,158.65 : 646,077.27 = 264,216.69 : x
  2. Step 2: Convert to fraction form
    468,158.65/646,077.27 = 264,216.69/x
  3. Step 3: Cross multiply
    468,158.65x = 646,077.27 × 264,216.69
  4. Step 4: Simplify right side
    468,158.65x = 170,704,397,072.29
  5. Step 5: Solve for x
    x = 170,704,397,072.29/468,158.65
  6. Step 6: Final answer
    x = 364,629.38

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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.