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Finding the Fourth Proportional to 410,215.31, 566,125.54 and 228,962.60

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Solution

The fourth proportional to 410,215.31, 566,125.54 and 228,962.60 is: 315,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,215.31 : 566,125.54 = 228,962.60 : x
  2. Step 2: Convert to fraction form
    410,215.31/566,125.54 = 228,962.60/x
  3. Step 3: Cross multiply
    410,215.31x = 566,125.54 × 228,962.60
  4. Step 4: Simplify right side
    410,215.31x = 129,621,575,564.80
  5. Step 5: Solve for x
    x = 129,621,575,564.80/410,215.31
  6. Step 6: Final answer
    x = 315,984.25

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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.