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Finding the Fourth Proportional to 507,410.76, 761,202.60 and 174,909

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Solution

The fourth proportional to 507,410.76, 761,202.60 and 174,909 is: 262,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,410.76 : 761,202.60 = 174,909 : x
  2. Step 2: Convert to fraction form
    507,410.76/761,202.60 = 174,909/x
  3. Step 3: Cross multiply
    507,410.76x = 761,202.60 × 174,909
  4. Step 4: Simplify right side
    507,410.76x = 133,141,185,563.40
  5. Step 5: Solve for x
    x = 133,141,185,563.40/507,410.76
  6. Step 6: Final answer
    x = 262,393.30

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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.