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Finding the Fourth Proportional to 497,174.14, 745,760.80 and 123,197.14

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Solution

The fourth proportional to 497,174.14, 745,760.80 and 123,197.14 is: 184,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,174.14 : 745,760.80 = 123,197.14 : x
  2. Step 2: Convert to fraction form
    497,174.14/745,760.80 = 123,197.14/x
  3. Step 3: Cross multiply
    497,174.14x = 745,760.80 × 123,197.14
  4. Step 4: Simplify right side
    497,174.14x = 91,875,597,684.11
  5. Step 5: Solve for x
    x = 91,875,597,684.11/497,174.14
  6. Step 6: Final answer
    x = 184,795.61

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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.