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Finding the Fourth Proportional to 733,406.02, 1,012,142.86 and 411,219.81

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Solution

The fourth proportional to 733,406.02, 1,012,142.86 and 411,219.81 is: 567,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,406.02 : 1,012,142.86 = 411,219.81 : x
  2. Step 2: Convert to fraction form
    733,406.02/1,012,142.86 = 411,219.81/x
  3. Step 3: Cross multiply
    733,406.02x = 1,012,142.86 × 411,219.81
  4. Step 4: Simplify right side
    733,406.02x = 416,213,193,554.01
  5. Step 5: Solve for x
    x = 416,213,193,554.01/733,406.02
  6. Step 6: Final answer
    x = 567,507.20

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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.