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Finding the Fourth Proportional to 712,552.23, 983,078.24 and 406,408.68

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Solution

The fourth proportional to 712,552.23, 983,078.24 and 406,408.68 is: 560,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,552.23 : 983,078.24 = 406,408.68 : x
  2. Step 2: Convert to fraction form
    712,552.23/983,078.24 = 406,408.68/x
  3. Step 3: Cross multiply
    712,552.23x = 983,078.24 × 406,408.68
  4. Step 4: Simplify right side
    712,552.23x = 399,531,527,823.08
  5. Step 5: Solve for x
    x = 399,531,527,823.08/712,552.23
  6. Step 6: Final answer
    x = 560,704.90

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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.