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Finding the Fourth Proportional to 530,463.08, 795,886.46 and 327,822

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Solution

The fourth proportional to 530,463.08, 795,886.46 and 327,822 is: 491,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,463.08 : 795,886.46 = 327,822 : x
  2. Step 2: Convert to fraction form
    530,463.08/795,886.46 = 327,822/x
  3. Step 3: Cross multiply
    530,463.08x = 795,886.46 × 327,822
  4. Step 4: Simplify right side
    530,463.08x = 260,909,089,451.01
  5. Step 5: Solve for x
    x = 260,909,089,451.01/530,463.08
  6. Step 6: Final answer
    x = 491,851.56

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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.