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Finding the Fourth Proportional to 513,324.03, 708,391.86 and 283,869.46

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Solution

The fourth proportional to 513,324.03, 708,391.86 and 283,869.46 is: 391,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,324.03 : 708,391.86 = 283,869.46 : x
  2. Step 2: Convert to fraction form
    513,324.03/708,391.86 = 283,869.46/x
  3. Step 3: Cross multiply
    513,324.03x = 708,391.86 × 283,869.46
  4. Step 4: Simplify right side
    513,324.03x = 201,090,811,224.64
  5. Step 5: Solve for x
    x = 201,090,811,224.64/513,324.03
  6. Step 6: Final answer
    x = 391,742.45

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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.