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Finding the Fourth Proportional to 471,365.44, 650,498 and 256,519.36

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Solution

The fourth proportional to 471,365.44, 650,498 and 256,519.36 is: 354,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.44 : 650,498 = 256,519.36 : x
  2. Step 2: Convert to fraction form
    471,365.44/650,498 = 256,519.36/x
  3. Step 3: Cross multiply
    471,365.44x = 650,498 × 256,519.36
  4. Step 4: Simplify right side
    471,365.44x = 166,865,330,641.28
  5. Step 5: Solve for x
    x = 166,865,330,641.28/471,365.44
  6. Step 6: Final answer
    x = 354,004.17

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1.5x scale

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.