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Finding the Fourth Proportional to 434,231.20, 651,346.80 and 411,421.60

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Solution

The fourth proportional to 434,231.20, 651,346.80 and 411,421.60 is: 617,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,231.20 : 651,346.80 = 411,421.60 : x
  2. Step 2: Convert to fraction form
    434,231.20/651,346.80 = 411,421.60/x
  3. Step 3: Cross multiply
    434,231.20x = 651,346.80 × 411,421.60
  4. Step 4: Simplify right side
    434,231.20x = 267,978,142,610.88
  5. Step 5: Solve for x
    x = 267,978,142,610.88/434,231.20
  6. Step 6: Final answer
    x = 617,132.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.