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Finding the Fourth Proportional to 403,647, 557,050.16 and 224,799

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Solution

The fourth proportional to 403,647, 557,050.16 and 224,799 is: 310,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,647 : 557,050.16 = 224,799 : x
  2. Step 2: Convert to fraction form
    403,647/557,050.16 = 224,799/x
  3. Step 3: Cross multiply
    403,647x = 557,050.16 × 224,799
  4. Step 4: Simplify right side
    403,647x = 125,224,318,917.84
  5. Step 5: Solve for x
    x = 125,224,318,917.84/403,647
  6. Step 6: Final answer
    x = 310,232.25

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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.