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Finding the Fourth Proportional to 614,836.10, 922,254.15 and 194,057.30

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Solution

The fourth proportional to 614,836.10, 922,254.15 and 194,057.30 is: 291,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,836.10 : 922,254.15 = 194,057.30 : x
  2. Step 2: Convert to fraction form
    614,836.10/922,254.15 = 194,057.30/x
  3. Step 3: Cross multiply
    614,836.10x = 922,254.15 × 194,057.30
  4. Step 4: Simplify right side
    614,836.10x = 178,970,150,262.80
  5. Step 5: Solve for x
    x = 178,970,150,262.80/614,836.10
  6. Step 6: Final answer
    x = 291,085.95

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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.