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Finding the Fourth Proportional to 831,711.03, 1,147,777.86 and 469,063.90

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Solution

The fourth proportional to 831,711.03, 1,147,777.86 and 469,063.90 is: 647,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,711.03 : 1,147,777.86 = 469,063.90 : x
  2. Step 2: Convert to fraction form
    831,711.03/1,147,777.86 = 469,063.90/x
  3. Step 3: Cross multiply
    831,711.03x = 1,147,777.86 × 469,063.90
  4. Step 4: Simplify right side
    831,711.03x = 538,381,159,345.25
  5. Step 5: Solve for x
    x = 538,381,159,345.25/831,711.03
  6. Step 6: Final answer
    x = 647,317.57

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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.