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Finding the Fourth Proportional to 614,449.28, 921,586.44 and 193,670.48

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Solution

The fourth proportional to 614,449.28, 921,586.44 and 193,670.48 is: 290,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,449.28 : 921,586.44 = 193,670.48 : x
  2. Step 2: Convert to fraction form
    614,449.28/921,586.44 = 193,670.48/x
  3. Step 3: Cross multiply
    614,449.28x = 921,586.44 × 193,670.48
  4. Step 4: Simplify right side
    614,449.28x = 178,484,088,196.29
  5. Step 5: Solve for x
    x = 178,484,088,196.29/614,449.28
  6. Step 6: Final answer
    x = 290,478.15

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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.