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Finding the Fourth Proportional to 712,581.30, 983,378.14 and 406,651.59

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Solution

The fourth proportional to 712,581.30, 983,378.14 and 406,651.59 is: 561,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,581.30 : 983,378.14 = 406,651.59 : x
  2. Step 2: Convert to fraction form
    712,581.30/983,378.14 = 406,651.59/x
  3. Step 3: Cross multiply
    712,581.30x = 983,378.14 × 406,651.59
  4. Step 4: Simplify right side
    712,581.30x = 399,892,283,185.61
  5. Step 5: Solve for x
    x = 399,892,283,185.61/712,581.30
  6. Step 6: Final answer
    x = 561,188.29

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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.