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Finding the Fourth Proportional to 305,413.35, 455,640.15 and 288,879.63

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Solution

The fourth proportional to 305,413.35, 455,640.15 and 288,879.63 is: 430,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,413.35 : 455,640.15 = 288,879.63 : x
  2. Step 2: Convert to fraction form
    305,413.35/455,640.15 = 288,879.63/x
  3. Step 3: Cross multiply
    305,413.35x = 455,640.15 × 288,879.63
  4. Step 4: Simplify right side
    305,413.35x = 131,625,159,882.77
  5. Step 5: Solve for x
    x = 131,625,159,882.77/305,413.35
  6. Step 6: Final answer
    x = 430,973.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.