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Finding the Fourth Proportional to 470,374.58, 648,474.22 and 323,194.95

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Solution

The fourth proportional to 470,374.58, 648,474.22 and 323,194.95 is: 445,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,374.58 : 648,474.22 = 323,194.95 : x
  2. Step 2: Convert to fraction form
    470,374.58/648,474.22 = 323,194.95/x
  3. Step 3: Cross multiply
    470,374.58x = 648,474.22 × 323,194.95
  4. Step 4: Simplify right side
    470,374.58x = 209,583,593,109.19
  5. Step 5: Solve for x
    x = 209,583,593,109.19/470,374.58
  6. Step 6: Final answer
    x = 445,567.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.