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Finding the Fourth Proportional to 507,924.52, 761,879.02 and 123,676.97

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Solution

The fourth proportional to 507,924.52, 761,879.02 and 123,676.97 is: 185,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,924.52 : 761,879.02 = 123,676.97 : x
  2. Step 2: Convert to fraction form
    507,924.52/761,879.02 = 123,676.97/x
  3. Step 3: Cross multiply
    507,924.52x = 761,879.02 × 123,676.97
  4. Step 4: Simplify right side
    507,924.52x = 94,226,888,700.17
  5. Step 5: Solve for x
    x = 94,226,888,700.17/507,924.52
  6. Step 6: Final answer
    x = 185,513.57

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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.