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Finding the Fourth Proportional to 416,404.07, 574,639.44 and 225,417.45

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Solution

The fourth proportional to 416,404.07, 574,639.44 and 225,417.45 is: 311,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,404.07 : 574,639.44 = 225,417.45 : x
  2. Step 2: Convert to fraction form
    416,404.07/574,639.44 = 225,417.45/x
  3. Step 3: Cross multiply
    416,404.07x = 574,639.44 × 225,417.45
  4. Step 4: Simplify right side
    416,404.07x = 129,533,757,234.23
  5. Step 5: Solve for x
    x = 129,533,757,234.23/416,404.07
  6. Step 6: Final answer
    x = 311,077.07

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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.