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Finding the Fourth Proportional to 416,844.54, 575,034 and 263,624.64

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Solution

The fourth proportional to 416,844.54, 575,034 and 263,624.64 is: 363,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,844.54 : 575,034 = 263,624.64 : x
  2. Step 2: Convert to fraction form
    416,844.54/575,034 = 263,624.64/x
  3. Step 3: Cross multiply
    416,844.54x = 575,034 × 263,624.64
  4. Step 4: Simplify right side
    416,844.54x = 151,593,131,237.76
  5. Step 5: Solve for x
    x = 151,593,131,237.76/416,844.54
  6. Step 6: Final answer
    x = 363,668.27

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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.