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Finding the Fourth Proportional to 511,781.22, 706,259.25 and 285,441.30

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Solution

The fourth proportional to 511,781.22, 706,259.25 and 285,441.30 is: 393,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,781.22 : 706,259.25 = 285,441.30 : x
  2. Step 2: Convert to fraction form
    511,781.22/706,259.25 = 285,441.30/x
  3. Step 3: Cross multiply
    511,781.22x = 706,259.25 × 285,441.30
  4. Step 4: Simplify right side
    511,781.22x = 201,595,558,457.03
  5. Step 5: Solve for x
    x = 201,595,558,457.03/511,781.22
  6. Step 6: Final answer
    x = 393,909.64

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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.