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Finding the Fourth Proportional to 614,806.20, 922,131.54 and 194,124.60

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Solution

The fourth proportional to 614,806.20, 922,131.54 and 194,124.60 is: 291,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,806.20 : 922,131.54 = 194,124.60 : x
  2. Step 2: Convert to fraction form
    614,806.20/922,131.54 = 194,124.60/x
  3. Step 3: Cross multiply
    614,806.20x = 922,131.54 × 194,124.60
  4. Step 4: Simplify right side
    614,806.20x = 179,008,416,349.88
  5. Step 5: Solve for x
    x = 179,008,416,349.88/614,806.20
  6. Step 6: Final answer
    x = 291,162.35

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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.