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Finding the Fourth Proportional to 432,561.60, 648,842.40 and 410,910.30

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Solution

The fourth proportional to 432,561.60, 648,842.40 and 410,910.30 is: 616,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,561.60 : 648,842.40 = 410,910.30 : x
  2. Step 2: Convert to fraction form
    432,561.60/648,842.40 = 410,910.30/x
  3. Step 3: Cross multiply
    432,561.60x = 648,842.40 × 410,910.30
  4. Step 4: Simplify right side
    432,561.60x = 266,616,025,236.72
  5. Step 5: Solve for x
    x = 266,616,025,236.72/432,561.60
  6. Step 6: Final answer
    x = 616,365.45

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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.