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Finding the Fourth Proportional to 831,713.16, 1,147,762.80 and 469,135.89

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Solution

The fourth proportional to 831,713.16, 1,147,762.80 and 469,135.89 is: 647,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,713.16 : 1,147,762.80 = 469,135.89 : x
  2. Step 2: Convert to fraction form
    831,713.16/1,147,762.80 = 469,135.89/x
  3. Step 3: Cross multiply
    831,713.16x = 1,147,762.80 × 469,135.89
  4. Step 4: Simplify right side
    831,713.16x = 538,456,722,686.89
  5. Step 5: Solve for x
    x = 538,456,722,686.89/831,713.16
  6. Step 6: Final answer
    x = 647,406.76

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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.