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Finding the Fourth Proportional to 504,642.51, 757,109.86 and 149,665.07

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Solution

The fourth proportional to 504,642.51, 757,109.86 and 149,665.07 is: 224,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,642.51 : 757,109.86 = 149,665.07 : x
  2. Step 2: Convert to fraction form
    504,642.51/757,109.86 = 149,665.07/x
  3. Step 3: Cross multiply
    504,642.51x = 757,109.86 × 149,665.07
  4. Step 4: Simplify right side
    504,642.51x = 113,312,901,713.20
  5. Step 5: Solve for x
    x = 113,312,901,713.20/504,642.51
  6. Step 6: Final answer
    x = 224,540.94

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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.