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Finding the Fourth Proportional to 469,705.96, 644,208.77 and 450,416.44

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Solution

The fourth proportional to 469,705.96, 644,208.77 and 450,416.44 is: 617,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,705.96 : 644,208.77 = 450,416.44 : x
  2. Step 2: Convert to fraction form
    469,705.96/644,208.77 = 450,416.44/x
  3. Step 3: Cross multiply
    469,705.96x = 644,208.77 × 450,416.44
  4. Step 4: Simplify right side
    469,705.96x = 290,162,220,800.18
  5. Step 5: Solve for x
    x = 290,162,220,800.18/469,705.96
  6. Step 6: Final answer
    x = 617,752.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.