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Finding the Fourth Proportional to 613,589.16, 920,483.46 and 181,350.48

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Solution

The fourth proportional to 613,589.16, 920,483.46 and 181,350.48 is: 272,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,589.16 : 920,483.46 = 181,350.48 : x
  2. Step 2: Convert to fraction form
    613,589.16/920,483.46 = 181,350.48/x
  3. Step 3: Cross multiply
    613,589.16x = 920,483.46 × 181,350.48
  4. Step 4: Simplify right side
    613,589.16x = 166,930,117,303.06
  5. Step 5: Solve for x
    x = 166,930,117,303.06/613,589.16
  6. Step 6: Final answer
    x = 272,055.19

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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.