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Finding the Fourth Proportional to 513,657.24, 708,808.50 and 287,259

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Solution

The fourth proportional to 513,657.24, 708,808.50 and 287,259 is: 396,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,657.24 : 708,808.50 = 287,259 : x
  2. Step 2: Convert to fraction form
    513,657.24/708,808.50 = 287,259/x
  3. Step 3: Cross multiply
    513,657.24x = 708,808.50 × 287,259
  4. Step 4: Simplify right side
    513,657.24x = 203,611,620,901.50
  5. Step 5: Solve for x
    x = 203,611,620,901.50/513,657.24
  6. Step 6: Final answer
    x = 396,395.89

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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.