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Finding the Fourth Proportional to 452,413.32, 681,797.40 and 407,490.96

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Solution

The fourth proportional to 452,413.32, 681,797.40 and 407,490.96 is: 614,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,413.32 : 681,797.40 = 407,490.96 : x
  2. Step 2: Convert to fraction form
    452,413.32/681,797.40 = 407,490.96/x
  3. Step 3: Cross multiply
    452,413.32x = 681,797.40 × 407,490.96
  4. Step 4: Simplify right side
    452,413.32x = 277,826,277,051.50
  5. Step 5: Solve for x
    x = 277,826,277,051.50/452,413.32
  6. Step 6: Final answer
    x = 614,098.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.