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Finding the Fourth Proportional to 513,223.84, 708,244.63 and 283,791.13

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Solution

The fourth proportional to 513,223.84, 708,244.63 and 283,791.13 is: 391,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,223.84 : 708,244.63 = 283,791.13 : x
  2. Step 2: Convert to fraction form
    513,223.84/708,244.63 = 283,791.13/x
  3. Step 3: Cross multiply
    513,223.84x = 708,244.63 × 283,791.13
  4. Step 4: Simplify right side
    513,223.84x = 200,993,543,864.13
  5. Step 5: Solve for x
    x = 200,993,543,864.13/513,223.84
  6. Step 6: Final answer
    x = 391,629.40

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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.