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Finding the Fourth Proportional to 667,413.60, 1,001,023.20 and 194,049.60

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Solution

The fourth proportional to 667,413.60, 1,001,023.20 and 194,049.60 is: 291,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,413.60 : 1,001,023.20 = 194,049.60 : x
  2. Step 2: Convert to fraction form
    667,413.60/1,001,023.20 = 194,049.60/x
  3. Step 3: Cross multiply
    667,413.60x = 1,001,023.20 × 194,049.60
  4. Step 4: Simplify right side
    667,413.60x = 194,248,151,550.72
  5. Step 5: Solve for x
    x = 194,248,151,550.72/667,413.60
  6. Step 6: Final answer
    x = 291,046.14

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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.