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Finding the Fourth Proportional to 434,564.20, 651,846.30 and 410,069.80

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Solution

The fourth proportional to 434,564.20, 651,846.30 and 410,069.80 is: 615,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,564.20 : 651,846.30 = 410,069.80 : x
  2. Step 2: Convert to fraction form
    434,564.20/651,846.30 = 410,069.80/x
  3. Step 3: Cross multiply
    434,564.20x = 651,846.30 × 410,069.80
  4. Step 4: Simplify right side
    434,564.20x = 267,302,481,871.74
  5. Step 5: Solve for x
    x = 267,302,481,871.74/434,564.20
  6. Step 6: Final answer
    x = 615,104.70

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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.