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Finding the Fourth Proportional to 443,405.20, 664,978.20 and 159,062.80

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Solution

The fourth proportional to 443,405.20, 664,978.20 and 159,062.80 is: 238,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,405.20 : 664,978.20 = 159,062.80 : x
  2. Step 2: Convert to fraction form
    443,405.20/664,978.20 = 159,062.80/x
  3. Step 3: Cross multiply
    443,405.20x = 664,978.20 × 159,062.80
  4. Step 4: Simplify right side
    443,405.20x = 105,773,294,430.96
  5. Step 5: Solve for x
    x = 105,773,294,430.96/443,405.20
  6. Step 6: Final answer
    x = 238,547.71

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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.