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Finding the Fourth Proportional to 541,077.74, 811,608.40 and 186,094.83

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Solution

The fourth proportional to 541,077.74, 811,608.40 and 186,094.83 is: 279,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,077.74 : 811,608.40 = 186,094.83 : x
  2. Step 2: Convert to fraction form
    541,077.74/811,608.40 = 186,094.83/x
  3. Step 3: Cross multiply
    541,077.74x = 811,608.40 × 186,094.83
  4. Step 4: Simplify right side
    541,077.74x = 151,036,127,224.57
  5. Step 5: Solve for x
    x = 151,036,127,224.57/541,077.74
  6. Step 6: Final answer
    x = 279,139.42

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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.