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Finding the Fourth Proportional to 411,200.40, 567,430.25 and 229,927.26

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Solution

The fourth proportional to 411,200.40, 567,430.25 and 229,927.26 is: 317,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,200.40 : 567,430.25 = 229,927.26 : x
  2. Step 2: Convert to fraction form
    411,200.40/567,430.25 = 229,927.26/x
  3. Step 3: Cross multiply
    411,200.40x = 567,430.25 × 229,927.26
  4. Step 4: Simplify right side
    411,200.40x = 130,467,680,361.28
  5. Step 5: Solve for x
    x = 130,467,680,361.28/411,200.40
  6. Step 6: Final answer
    x = 317,284.91

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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.