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Finding the Fourth Proportional to 706,287.10, 1,059,317.14 and 193,832.50

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Solution

The fourth proportional to 706,287.10, 1,059,317.14 and 193,832.50 is: 290,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,287.10 : 1,059,317.14 = 193,832.50 : x
  2. Step 2: Convert to fraction form
    706,287.10/1,059,317.14 = 193,832.50/x
  3. Step 3: Cross multiply
    706,287.10x = 1,059,317.14 × 193,832.50
  4. Step 4: Simplify right side
    706,287.10x = 205,330,089,539.05
  5. Step 5: Solve for x
    x = 205,330,089,539.05/706,287.10
  6. Step 6: Final answer
    x = 290,717.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.