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Finding the Fourth Proportional to 416,950, 575,452.77 and 264,002.41

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Solution

The fourth proportional to 416,950, 575,452.77 and 264,002.41 is: 364,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,950 : 575,452.77 = 264,002.41 : x
  2. Step 2: Convert to fraction form
    416,950/575,452.77 = 264,002.41/x
  3. Step 3: Cross multiply
    416,950x = 575,452.77 × 264,002.41
  4. Step 4: Simplify right side
    416,950x = 151,920,916,801.16
  5. Step 5: Solve for x
    x = 151,920,916,801.16/416,950
  6. Step 6: Final answer
    x = 364,362.43

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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.