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Finding the Fourth Proportional to 523,015.30, 784,656.60 and 168,032.80

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Solution

The fourth proportional to 523,015.30, 784,656.60 and 168,032.80 is: 252,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,015.30 : 784,656.60 = 168,032.80 : x
  2. Step 2: Convert to fraction form
    523,015.30/784,656.60 = 168,032.80/x
  3. Step 3: Cross multiply
    523,015.30x = 784,656.60 × 168,032.80
  4. Step 4: Simplify right side
    523,015.30x = 131,848,045,536.48
  5. Step 5: Solve for x
    x = 131,848,045,536.48/523,015.30
  6. Step 6: Final answer
    x = 252,092.14

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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.