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Finding the Fourth Proportional to 411,113.26, 567,340.50 and 229,835.26

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Solution

The fourth proportional to 411,113.26, 567,340.50 and 229,835.26 is: 317,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,113.26 : 567,340.50 = 229,835.26 : x
  2. Step 2: Convert to fraction form
    411,113.26/567,340.50 = 229,835.26/x
  3. Step 3: Cross multiply
    411,113.26x = 567,340.50 × 229,835.26
  4. Step 4: Simplify right side
    411,113.26x = 130,394,849,907.68
  5. Step 5: Solve for x
    x = 130,394,849,907.68/411,113.26
  6. Step 6: Final answer
    x = 317,175.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.