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Finding the Fourth Proportional to 407,827.20, 611,827.20 and 123,494.40

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Solution

The fourth proportional to 407,827.20, 611,827.20 and 123,494.40 is: 185,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.20 : 611,827.20 = 123,494.40 : x
  2. Step 2: Convert to fraction form
    407,827.20/611,827.20 = 123,494.40/x
  3. Step 3: Cross multiply
    407,827.20x = 611,827.20 × 123,494.40
  4. Step 4: Simplify right side
    407,827.20x = 75,557,232,967.68
  5. Step 5: Solve for x
    x = 75,557,232,967.68/407,827.20
  6. Step 6: Final answer
    x = 185,267.76

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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.