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Finding the Fourth Proportional to 305,827.20, 459,086.40 and 181,238.40

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Solution

The fourth proportional to 305,827.20, 459,086.40 and 181,238.40 is: 272,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,827.20 : 459,086.40 = 181,238.40 : x
  2. Step 2: Convert to fraction form
    305,827.20/459,086.40 = 181,238.40/x
  3. Step 3: Cross multiply
    305,827.20x = 459,086.40 × 181,238.40
  4. Step 4: Simplify right side
    305,827.20x = 83,204,084,597.76
  5. Step 5: Solve for x
    x = 83,204,084,597.76/305,827.20
  6. Step 6: Final answer
    x = 272,062.41

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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.