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Finding the Fourth Proportional to 416,824.32, 575,007.84 and 273,564.48

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Solution

The fourth proportional to 416,824.32, 575,007.84 and 273,564.48 is: 377,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,824.32 : 575,007.84 = 273,564.48 : x
  2. Step 2: Convert to fraction form
    416,824.32/575,007.84 = 273,564.48/x
  3. Step 3: Cross multiply
    416,824.32x = 575,007.84 × 273,564.48
  4. Step 4: Simplify right side
    416,824.32x = 157,301,720,745.52
  5. Step 5: Solve for x
    x = 157,301,720,745.52/416,824.32
  6. Step 6: Final answer
    x = 377,381.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.