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Finding the Fourth Proportional to 389,617.60, 583,965.60 and 164,977.60

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Solution

The fourth proportional to 389,617.60, 583,965.60 and 164,977.60 is: 247,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617.60 : 583,965.60 = 164,977.60 : x
  2. Step 2: Convert to fraction form
    389,617.60/583,965.60 = 164,977.60/x
  3. Step 3: Cross multiply
    389,617.60x = 583,965.60 × 164,977.60
  4. Step 4: Simplify right side
    389,617.60x = 96,341,243,170.56
  5. Step 5: Solve for x
    x = 96,341,243,170.56/389,617.60
  6. Step 6: Final answer
    x = 247,271.28

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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.