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Finding the Fourth Proportional to 416,991, 575,444.34 and 225,999.48

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Solution

The fourth proportional to 416,991, 575,444.34 and 225,999.48 is: 311,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,991 : 575,444.34 = 225,999.48 : x
  2. Step 2: Convert to fraction form
    416,991/575,444.34 = 225,999.48/x
  3. Step 3: Cross multiply
    416,991x = 575,444.34 × 225,999.48
  4. Step 4: Simplify right side
    416,991x = 130,050,121,608.94
  5. Step 5: Solve for x
    x = 130,050,121,608.94/416,991
  6. Step 6: Final answer
    x = 311,877.53

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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.