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Finding the Fourth Proportional to 413,413.20, 618,551.40 and 245,023.92

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Solution

The fourth proportional to 413,413.20, 618,551.40 and 245,023.92 is: 366,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.20 : 618,551.40 = 245,023.92 : x
  2. Step 2: Convert to fraction form
    413,413.20/618,551.40 = 245,023.92/x
  3. Step 3: Cross multiply
    413,413.20x = 618,551.40 × 245,023.92
  4. Step 4: Simplify right side
    413,413.20x = 151,559,888,749.49
  5. Step 5: Solve for x
    x = 151,559,888,749.49/413,413.20
  6. Step 6: Final answer
    x = 366,606.31

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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.