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Finding the Fourth Proportional to 389,202.60, 583,343.10 and 164,562.60

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Solution

The fourth proportional to 389,202.60, 583,343.10 and 164,562.60 is: 246,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,202.60 : 583,343.10 = 164,562.60 : x
  2. Step 2: Convert to fraction form
    389,202.60/583,343.10 = 164,562.60/x
  3. Step 3: Cross multiply
    389,202.60x = 583,343.10 × 164,562.60
  4. Step 4: Simplify right side
    389,202.60x = 95,996,457,228.06
  5. Step 5: Solve for x
    x = 95,996,457,228.06/389,202.60
  6. Step 6: Final answer
    x = 246,649.06

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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.