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Finding the Fourth Proportional to 416,971.26, 575,404.88 and 225,980.56

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Solution

The fourth proportional to 416,971.26, 575,404.88 and 225,980.56 is: 311,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.26 : 575,404.88 = 225,980.56 : x
  2. Step 2: Convert to fraction form
    416,971.26/575,404.88 = 225,980.56/x
  3. Step 3: Cross multiply
    416,971.26x = 575,404.88 × 225,980.56
  4. Step 4: Simplify right side
    416,971.26x = 130,030,317,009.13
  5. Step 5: Solve for x
    x = 130,030,317,009.13/416,971.26
  6. Step 6: Final answer
    x = 311,844.79

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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.