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Finding the Fourth Proportional to 541,165.86, 811,740.29 and 186,182.96

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Solution

The fourth proportional to 541,165.86, 811,740.29 and 186,182.96 is: 279,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,165.86 : 811,740.29 = 186,182.96 : x
  2. Step 2: Convert to fraction form
    541,165.86/811,740.29 = 186,182.96/x
  3. Step 3: Cross multiply
    541,165.86x = 811,740.29 × 186,182.96
  4. Step 4: Simplify right side
    541,165.86x = 151,132,204,953.84
  5. Step 5: Solve for x
    x = 151,132,204,953.84/541,165.86
  6. Step 6: Final answer
    x = 279,271.51

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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.