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Finding the Fourth Proportional to 509,899.80, 765,141.30 and 352,241.40

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Solution

The fourth proportional to 509,899.80, 765,141.30 and 352,241.40 is: 528,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,899.80 : 765,141.30 = 352,241.40 : x
  2. Step 2: Convert to fraction form
    509,899.80/765,141.30 = 352,241.40/x
  3. Step 3: Cross multiply
    509,899.80x = 765,141.30 × 352,241.40
  4. Step 4: Simplify right side
    509,899.80x = 269,514,442,709.82
  5. Step 5: Solve for x
    x = 269,514,442,709.82/509,899.80
  6. Step 6: Final answer
    x = 528,563.54

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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.