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Finding the Fourth Proportional to 504,019.96, 756,177.60 and 149,043.20

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Solution

The fourth proportional to 504,019.96, 756,177.60 and 149,043.20 is: 223,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,019.96 : 756,177.60 = 149,043.20 : x
  2. Step 2: Convert to fraction form
    504,019.96/756,177.60 = 149,043.20/x
  3. Step 3: Cross multiply
    504,019.96x = 756,177.60 × 149,043.20
  4. Step 4: Simplify right side
    504,019.96x = 112,703,129,272.32
  5. Step 5: Solve for x
    x = 112,703,129,272.32/504,019.96
  6. Step 6: Final answer
    x = 223,608.46

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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.