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Finding the Fourth Proportional to 513,222.84, 708,243.26 and 283,790.13

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Solution

The fourth proportional to 513,222.84, 708,243.26 and 283,790.13 is: 391,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,222.84 : 708,243.26 = 283,790.13 : x
  2. Step 2: Convert to fraction form
    513,222.84/708,243.26 = 283,790.13/x
  3. Step 3: Cross multiply
    513,222.84x = 708,243.26 × 283,790.13
  4. Step 4: Simplify right side
    513,222.84x = 200,992,445,408.07
  5. Step 5: Solve for x
    x = 200,992,445,408.07/513,222.84
  6. Step 6: Final answer
    x = 391,628.02

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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.