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Finding the Fourth Proportional to 504,610.64, 757,062.06 and 149,633.20

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Solution

The fourth proportional to 504,610.64, 757,062.06 and 149,633.20 is: 224,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,610.64 : 757,062.06 = 149,633.20 : x
  2. Step 2: Convert to fraction form
    504,610.64/757,062.06 = 149,633.20/x
  3. Step 3: Cross multiply
    504,610.64x = 757,062.06 × 149,633.20
  4. Step 4: Simplify right side
    504,610.64x = 113,281,618,636.39
  5. Step 5: Solve for x
    x = 113,281,618,636.39/504,610.64
  6. Step 6: Final answer
    x = 224,493.13

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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.