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Finding the Fourth Proportional to 513,472.48, 708,537.50 and 283,993.30

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Solution

The fourth proportional to 513,472.48, 708,537.50 and 283,993.30 is: 391,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,472.48 : 708,537.50 = 283,993.30 : x
  2. Step 2: Convert to fraction form
    513,472.48/708,537.50 = 283,993.30/x
  3. Step 3: Cross multiply
    513,472.48x = 708,537.50 × 283,993.30
  4. Step 4: Simplify right side
    513,472.48x = 201,219,902,798.75
  5. Step 5: Solve for x
    x = 201,219,902,798.75/513,472.48
  6. Step 6: Final answer
    x = 391,880.60

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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.