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Finding the Fourth Proportional to 471,722.94, 650,985.42 and 256,867.20

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Solution

The fourth proportional to 471,722.94, 650,985.42 and 256,867.20 is: 354,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,722.94 : 650,985.42 = 256,867.20 : x
  2. Step 2: Convert to fraction form
    471,722.94/650,985.42 = 256,867.20/x
  3. Step 3: Cross multiply
    471,722.94x = 650,985.42 × 256,867.20
  4. Step 4: Simplify right side
    471,722.94x = 167,216,802,076.22
  5. Step 5: Solve for x
    x = 167,216,802,076.22/471,722.94
  6. Step 6: Final answer
    x = 354,480.96

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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.