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Finding the Fourth Proportional to 389,626.92, 583,970.10 and 189,647.64

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Solution

The fourth proportional to 389,626.92, 583,970.10 and 189,647.64 is: 284,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,626.92 : 583,970.10 = 189,647.64 : x
  2. Step 2: Convert to fraction form
    389,626.92/583,970.10 = 189,647.64/x
  3. Step 3: Cross multiply
    389,626.92x = 583,970.10 × 189,647.64
  4. Step 4: Simplify right side
    389,626.92x = 110,748,551,295.56
  5. Step 5: Solve for x
    x = 110,748,551,295.56/389,626.92
  6. Step 6: Final answer
    x = 284,242.56

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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.