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Finding the Fourth Proportional to 539,761.60, 809,642.40 and 165,784.60

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Solution

The fourth proportional to 539,761.60, 809,642.40 and 165,784.60 is: 248,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,761.60 : 809,642.40 = 165,784.60 : x
  2. Step 2: Convert to fraction form
    539,761.60/809,642.40 = 165,784.60/x
  3. Step 3: Cross multiply
    539,761.60x = 809,642.40 × 165,784.60
  4. Step 4: Simplify right side
    539,761.60x = 134,226,241,427.04
  5. Step 5: Solve for x
    x = 134,226,241,427.04/539,761.60
  6. Step 6: Final answer
    x = 248,676.90

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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.