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Finding the Fourth Proportional to 541,833.60, 812,789.36 and 186,842.50

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Solution

The fourth proportional to 541,833.60, 812,789.36 and 186,842.50 is: 280,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,833.60 : 812,789.36 = 186,842.50 : x
  2. Step 2: Convert to fraction form
    541,833.60/812,789.36 = 186,842.50/x
  3. Step 3: Cross multiply
    541,833.60x = 812,789.36 × 186,842.50
  4. Step 4: Simplify right side
    541,833.60x = 151,863,595,995.80
  5. Step 5: Solve for x
    x = 151,863,595,995.80/541,833.60
  6. Step 6: Final answer
    x = 280,277.18

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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.