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Finding the Fourth Proportional to 614,196.30, 921,424.05 and 193,514.70

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Solution

The fourth proportional to 614,196.30, 921,424.05 and 193,514.70 is: 290,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,196.30 : 921,424.05 = 193,514.70 : x
  2. Step 2: Convert to fraction form
    614,196.30/921,424.05 = 193,514.70/x
  3. Step 3: Cross multiply
    614,196.30x = 921,424.05 × 193,514.70
  4. Step 4: Simplify right side
    614,196.30x = 178,309,098,608.54
  5. Step 5: Solve for x
    x = 178,309,098,608.54/614,196.30
  6. Step 6: Final answer
    x = 290,312.88

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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.