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Finding the Fourth Proportional to 497,201.80, 745,802.70 and 123,224.80

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Solution

The fourth proportional to 497,201.80, 745,802.70 and 123,224.80 is: 184,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,201.80 : 745,802.70 = 123,224.80 : x
  2. Step 2: Convert to fraction form
    497,201.80/745,802.70 = 123,224.80/x
  3. Step 3: Cross multiply
    497,201.80x = 745,802.70 × 123,224.80
  4. Step 4: Simplify right side
    497,201.80x = 91,901,388,546.96
  5. Step 5: Solve for x
    x = 91,901,388,546.96/497,201.80
  6. Step 6: Final answer
    x = 184,837.20

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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.