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Finding the Fourth Proportional to 411,441.71, 567,762.89 and 230,122.26

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Solution

The fourth proportional to 411,441.71, 567,762.89 and 230,122.26 is: 317,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,441.71 : 567,762.89 = 230,122.26 : x
  2. Step 2: Convert to fraction form
    411,441.71/567,762.89 = 230,122.26/x
  3. Step 3: Cross multiply
    411,441.71x = 567,762.89 × 230,122.26
  4. Step 4: Simplify right side
    411,441.71x = 130,654,878,240.32
  5. Step 5: Solve for x
    x = 130,654,878,240.32/411,441.71
  6. Step 6: Final answer
    x = 317,553.80

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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.