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Finding the Fourth Proportional to 546,039.56, 819,056.10 and 141,231.80

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Solution

The fourth proportional to 546,039.56, 819,056.10 and 141,231.80 is: 211,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,039.56 : 819,056.10 = 141,231.80 : x
  2. Step 2: Convert to fraction form
    546,039.56/819,056.10 = 141,231.80/x
  3. Step 3: Cross multiply
    546,039.56x = 819,056.10 × 141,231.80
  4. Step 4: Simplify right side
    546,039.56x = 115,676,767,303.98
  5. Step 5: Solve for x
    x = 115,676,767,303.98/546,039.56
  6. Step 6: Final answer
    x = 211,846.86

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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.