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Finding the Fourth Proportional to 331,590.88, 497,282.64 and 144,413.92

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Solution

The fourth proportional to 331,590.88, 497,282.64 and 144,413.92 is: 216,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,590.88 : 497,282.64 = 144,413.92 : x
  2. Step 2: Convert to fraction form
    331,590.88/497,282.64 = 144,413.92/x
  3. Step 3: Cross multiply
    331,590.88x = 497,282.64 × 144,413.92
  4. Step 4: Simplify right side
    331,590.88x = 71,814,535,390.35
  5. Step 5: Solve for x
    x = 71,814,535,390.35/331,590.88
  6. Step 6: Final answer
    x = 216,575.73

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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.