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Finding the Fourth Proportional to 471,045.20, 650,047.07 and 256,190.00

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Solution

The fourth proportional to 471,045.20, 650,047.07 and 256,190.00 is: 353,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,045.20 : 650,047.07 = 256,190.00 : x
  2. Step 2: Convert to fraction form
    471,045.20/650,047.07 = 256,190.00/x
  3. Step 3: Cross multiply
    471,045.20x = 650,047.07 × 256,190.00
  4. Step 4: Simplify right side
    471,045.20x = 166,535,556,253.54
  5. Step 5: Solve for x
    x = 166,535,556,253.54/471,045.20
  6. Step 6: Final answer
    x = 353,544.75

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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.