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Finding the Fourth Proportional to 712,538.64, 983,283.96 and 406,609.44

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Solution

The fourth proportional to 712,538.64, 983,283.96 and 406,609.44 is: 561,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,538.64 : 983,283.96 = 406,609.44 : x
  2. Step 2: Convert to fraction form
    712,538.64/983,283.96 = 406,609.44/x
  3. Step 3: Cross multiply
    712,538.64x = 983,283.96 × 406,609.44
  4. Step 4: Simplify right side
    712,538.64x = 399,812,540,336.58
  5. Step 5: Solve for x
    x = 399,812,540,336.58/712,538.64
  6. Step 6: Final answer
    x = 561,109.98

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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.