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Finding the Fourth Proportional to 541,813.22, 812,773.29 and 186,780.50

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Solution

The fourth proportional to 541,813.22, 812,773.29 and 186,780.50 is: 280,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,813.22 : 812,773.29 = 186,780.50 : x
  2. Step 2: Convert to fraction form
    541,813.22/812,773.29 = 186,780.50/x
  3. Step 3: Cross multiply
    541,813.22x = 812,773.29 × 186,780.50
  4. Step 4: Simplify right side
    541,813.22x = 151,810,196,495.08
  5. Step 5: Solve for x
    x = 151,810,196,495.08/541,813.22
  6. Step 6: Final answer
    x = 280,189.17

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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.