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Finding the Fourth Proportional to 497,809.40, 746,716.80 and 123,832.40

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Solution

The fourth proportional to 497,809.40, 746,716.80 and 123,832.40 is: 185,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,809.40 : 746,716.80 = 123,832.40 : x
  2. Step 2: Convert to fraction form
    497,809.40/746,716.80 = 123,832.40/x
  3. Step 3: Cross multiply
    497,809.40x = 746,716.80 × 123,832.40
  4. Step 4: Simplify right side
    497,809.40x = 92,467,733,464.32
  5. Step 5: Solve for x
    x = 92,467,733,464.32/497,809.40
  6. Step 6: Final answer
    x = 185,749.27

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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.