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Finding the Fourth Proportional to 614,100.80, 921,280.80 and 193,419.20

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Solution

The fourth proportional to 614,100.80, 921,280.80 and 193,419.20 is: 290,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,100.80 : 921,280.80 = 193,419.20 : x
  2. Step 2: Convert to fraction form
    614,100.80/921,280.80 = 193,419.20/x
  3. Step 3: Cross multiply
    614,100.80x = 921,280.80 × 193,419.20
  4. Step 4: Simplify right side
    614,100.80x = 178,193,395,311.36
  5. Step 5: Solve for x
    x = 178,193,395,311.36/614,100.80
  6. Step 6: Final answer
    x = 290,169.62

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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.