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Finding the Fourth Proportional to 470,172.48, 648,799.52 and 258,204.48

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Solution

The fourth proportional to 470,172.48, 648,799.52 and 258,204.48 is: 356,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,172.48 : 648,799.52 = 258,204.48 : x
  2. Step 2: Convert to fraction form
    470,172.48/648,799.52 = 258,204.48/x
  3. Step 3: Cross multiply
    470,172.48x = 648,799.52 × 258,204.48
  4. Step 4: Simplify right side
    470,172.48x = 167,522,942,685.85
  5. Step 5: Solve for x
    x = 167,522,942,685.85/470,172.48
  6. Step 6: Final answer
    x = 356,301.04

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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.