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Finding the Fourth Proportional to 432,511.20, 648,766.80 and 412,828.20

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Solution

The fourth proportional to 432,511.20, 648,766.80 and 412,828.20 is: 619,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,511.20 : 648,766.80 = 412,828.20 : x
  2. Step 2: Convert to fraction form
    432,511.20/648,766.80 = 412,828.20/x
  3. Step 3: Cross multiply
    432,511.20x = 648,766.80 × 412,828.20
  4. Step 4: Simplify right side
    432,511.20x = 267,829,230,263.76
  5. Step 5: Solve for x
    x = 267,829,230,263.76/432,511.20
  6. Step 6: Final answer
    x = 619,242.30

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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.