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Finding the Fourth Proportional to 497,175.14, 745,762.30 and 123,198.14

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Solution

The fourth proportional to 497,175.14, 745,762.30 and 123,198.14 is: 184,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,175.14 : 745,762.30 = 123,198.14 : x
  2. Step 2: Convert to fraction form
    497,175.14/745,762.30 = 123,198.14/x
  3. Step 3: Cross multiply
    497,175.14x = 745,762.30 × 123,198.14
  4. Step 4: Simplify right side
    497,175.14x = 91,876,528,242.12
  5. Step 5: Solve for x
    x = 91,876,528,242.12/497,175.14
  6. Step 6: Final answer
    x = 184,797.11

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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.