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Finding the Fourth Proportional to 416,226.54, 574,330.83 and 252,798

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Solution

The fourth proportional to 416,226.54, 574,330.83 and 252,798 is: 348,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,226.54 : 574,330.83 = 252,798 : x
  2. Step 2: Convert to fraction form
    416,226.54/574,330.83 = 252,798/x
  3. Step 3: Cross multiply
    416,226.54x = 574,330.83 × 252,798
  4. Step 4: Simplify right side
    416,226.54x = 145,189,685,162.34
  5. Step 5: Solve for x
    x = 145,189,685,162.34/416,226.54
  6. Step 6: Final answer
    x = 348,823.71

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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.