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Finding the Fourth Proportional to 416,949.75, 575,452.42 and 264,002.16

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Solution

The fourth proportional to 416,949.75, 575,452.42 and 264,002.16 is: 364,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,949.75 : 575,452.42 = 264,002.16 : x
  2. Step 2: Convert to fraction form
    416,949.75/575,452.42 = 264,002.16/x
  3. Step 3: Cross multiply
    416,949.75x = 575,452.42 × 264,002.16
  4. Step 4: Simplify right side
    416,949.75x = 151,920,681,857.23
  5. Step 5: Solve for x
    x = 151,920,681,857.23/416,949.75
  6. Step 6: Final answer
    x = 364,362.09

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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.