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Finding the Fourth Proportional to 456,038.56, 684,057.84 and 123,614.56

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Solution

The fourth proportional to 456,038.56, 684,057.84 and 123,614.56 is: 185,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,038.56 : 684,057.84 = 123,614.56 : x
  2. Step 2: Convert to fraction form
    456,038.56/684,057.84 = 123,614.56/x
  3. Step 3: Cross multiply
    456,038.56x = 684,057.84 × 123,614.56
  4. Step 4: Simplify right side
    456,038.56x = 84,559,508,906.15
  5. Step 5: Solve for x
    x = 84,559,508,906.15/456,038.56
  6. Step 6: Final answer
    x = 185,421.84

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Similar ratio
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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.