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Finding the Fourth Proportional to 614,510.75, 921,766.16 and 193,819.43

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Solution

The fourth proportional to 614,510.75, 921,766.16 and 193,819.43 is: 290,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,510.75 : 921,766.16 = 193,819.43 : x
  2. Step 2: Convert to fraction form
    614,510.75/921,766.16 = 193,819.43/x
  3. Step 3: Cross multiply
    614,510.75x = 921,766.16 × 193,819.43
  4. Step 4: Simplify right side
    614,510.75x = 178,656,194,513.45
  5. Step 5: Solve for x
    x = 178,656,194,513.45/614,510.75
  6. Step 6: Final answer
    x = 290,729.16

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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.