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Finding the Fourth Proportional to 471,365.32, 650,497.83 and 256,519.24

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Solution

The fourth proportional to 471,365.32, 650,497.83 and 256,519.24 is: 354,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.32 : 650,497.83 = 256,519.24 : x
  2. Step 2: Convert to fraction form
    471,365.32/650,497.83 = 256,519.24/x
  3. Step 3: Cross multiply
    471,365.32x = 650,497.83 × 256,519.24
  4. Step 4: Simplify right side
    471,365.32x = 166,865,208,973.25
  5. Step 5: Solve for x
    x = 166,865,208,973.25/471,365.32
  6. Step 6: Final answer
    x = 354,004.00

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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.