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Finding the Fourth Proportional to 712,558.32, 983,086.40 and 406,413.56

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Solution

The fourth proportional to 712,558.32, 983,086.40 and 406,413.56 is: 560,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,558.32 : 983,086.40 = 406,413.56 : x
  2. Step 2: Convert to fraction form
    712,558.32/983,086.40 = 406,413.56/x
  3. Step 3: Cross multiply
    712,558.32x = 983,086.40 × 406,413.56
  4. Step 4: Simplify right side
    712,558.32x = 399,539,643,611.58
  5. Step 5: Solve for x
    x = 399,539,643,611.58/712,558.32
  6. Step 6: Final answer
    x = 560,711.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.