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Finding the Fourth Proportional to 541,814.47, 812,775.16 and 186,781.75

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Solution

The fourth proportional to 541,814.47, 812,775.16 and 186,781.75 is: 280,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,814.47 : 812,775.16 = 186,781.75 : x
  2. Step 2: Convert to fraction form
    541,814.47/812,775.16 = 186,781.75/x
  3. Step 3: Cross multiply
    541,814.47x = 812,775.16 × 186,781.75
  4. Step 4: Simplify right side
    541,814.47x = 151,811,566,741.33
  5. Step 5: Solve for x
    x = 151,811,566,741.33/541,814.47
  6. Step 6: Final answer
    x = 280,191.05

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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.