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Finding the Fourth Proportional to 434,231.70, 651,347.55 and 411,422.10

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Solution

The fourth proportional to 434,231.70, 651,347.55 and 411,422.10 is: 617,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,231.70 : 651,347.55 = 411,422.10 : x
  2. Step 2: Convert to fraction form
    434,231.70/651,347.55 = 411,422.10/x
  3. Step 3: Cross multiply
    434,231.70x = 651,347.55 × 411,422.10
  4. Step 4: Simplify right side
    434,231.70x = 267,978,776,850.86
  5. Step 5: Solve for x
    x = 267,978,776,850.86/434,231.70
  6. Step 6: Final answer
    x = 617,133.15

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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.