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Finding the Fourth Proportional to 468,739.54, 702,997.80 and 202,354.30

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Solution

The fourth proportional to 468,739.54, 702,997.80 and 202,354.30 is: 303,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,739.54 : 702,997.80 = 202,354.30 : x
  2. Step 2: Convert to fraction form
    468,739.54/702,997.80 = 202,354.30/x
  3. Step 3: Cross multiply
    468,739.54x = 702,997.80 × 202,354.30
  4. Step 4: Simplify right side
    468,739.54x = 142,254,627,720.54
  5. Step 5: Solve for x
    x = 142,254,627,720.54/468,739.54
  6. Step 6: Final answer
    x = 303,483.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.