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Finding the Fourth Proportional to 328,006.52, 492,078.84 and 185,919.86

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Solution

The fourth proportional to 328,006.52, 492,078.84 and 185,919.86 is: 278,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,006.52 : 492,078.84 = 185,919.86 : x
  2. Step 2: Convert to fraction form
    328,006.52/492,078.84 = 185,919.86/x
  3. Step 3: Cross multiply
    328,006.52x = 492,078.84 × 185,919.86
  4. Step 4: Simplify right side
    328,006.52x = 91,487,229,041.76
  5. Step 5: Solve for x
    x = 91,487,229,041.76/328,006.52
  6. Step 6: Final answer
    x = 278,918.93

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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.