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Finding the Fourth Proportional to 389,301.60, 583,628.40 and 164,834.40

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Solution

The fourth proportional to 389,301.60, 583,628.40 and 164,834.40 is: 247,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,301.60 : 583,628.40 = 164,834.40 : x
  2. Step 2: Convert to fraction form
    389,301.60/583,628.40 = 164,834.40/x
  3. Step 3: Cross multiply
    389,301.60x = 583,628.40 × 164,834.40
  4. Step 4: Simplify right side
    389,301.60x = 96,202,037,136.96
  5. Step 5: Solve for x
    x = 96,202,037,136.96/389,301.60
  6. Step 6: Final answer
    x = 247,114.41

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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.