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Finding the Fourth Proportional to 513,766.80, 708,983.52 and 284,333.67

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Solution

The fourth proportional to 513,766.80, 708,983.52 and 284,333.67 is: 392,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,766.80 : 708,983.52 = 284,333.67 : x
  2. Step 2: Convert to fraction form
    513,766.80/708,983.52 = 284,333.67/x
  3. Step 3: Cross multiply
    513,766.80x = 708,983.52 × 284,333.67
  4. Step 4: Simplify right side
    513,766.80x = 201,587,886,211.12
  5. Step 5: Solve for x
    x = 201,587,886,211.12/513,766.80
  6. Step 6: Final answer
    x = 392,372.35

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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.