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Finding the Fourth Proportional to 513,181, 708,211.65 and 286,826.50

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Solution

The fourth proportional to 513,181, 708,211.65 and 286,826.50 is: 395,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,181 : 708,211.65 = 286,826.50 : x
  2. Step 2: Convert to fraction form
    513,181/708,211.65 = 286,826.50/x
  3. Step 3: Cross multiply
    513,181x = 708,211.65 × 286,826.50
  4. Step 4: Simplify right side
    513,181x = 203,133,868,828.73
  5. Step 5: Solve for x
    x = 203,133,868,828.73/513,181
  6. Step 6: Final answer
    x = 395,832.79

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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.