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Finding the Fourth Proportional to 384,055.80, 575,651.70 and 184,471.80

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Solution

The fourth proportional to 384,055.80, 575,651.70 and 184,471.80 is: 276,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,055.80 : 575,651.70 = 184,471.80 : x
  2. Step 2: Convert to fraction form
    384,055.80/575,651.70 = 184,471.80/x
  3. Step 3: Cross multiply
    384,055.80x = 575,651.70 × 184,471.80
  4. Step 4: Simplify right side
    384,055.80x = 106,191,505,272.06
  5. Step 5: Solve for x
    x = 106,191,505,272.06/384,055.80
  6. Step 6: Final answer
    x = 276,500.20

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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.