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Finding the Fourth Proportional to 719,873.22, 993,617.19 and 413,983.02

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Solution

The fourth proportional to 719,873.22, 993,617.19 and 413,983.02 is: 571,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,873.22 : 993,617.19 = 413,983.02 : x
  2. Step 2: Convert to fraction form
    719,873.22/993,617.19 = 413,983.02/x
  3. Step 3: Cross multiply
    719,873.22x = 993,617.19 × 413,983.02
  4. Step 4: Simplify right side
    719,873.22x = 411,340,645,040.11
  5. Step 5: Solve for x
    x = 411,340,645,040.11/719,873.22
  6. Step 6: Final answer
    x = 571,407.07

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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.