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Finding the Fourth Proportional to 614,213.80, 921,450.30 and 193,532.20

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Solution

The fourth proportional to 614,213.80, 921,450.30 and 193,532.20 is: 290,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,213.80 : 921,450.30 = 193,532.20 : x
  2. Step 2: Convert to fraction form
    614,213.80/921,450.30 = 193,532.20/x
  3. Step 3: Cross multiply
    614,213.80x = 921,450.30 × 193,532.20
  4. Step 4: Simplify right side
    614,213.80x = 178,330,303,749.66
  5. Step 5: Solve for x
    x = 178,330,303,749.66/614,213.80
  6. Step 6: Final answer
    x = 290,339.14

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1.5x scale

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.