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Finding the Fourth Proportional to 509,063.70, 763,595.55 and 259,713.30

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Solution

The fourth proportional to 509,063.70, 763,595.55 and 259,713.30 is: 389,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,063.70 : 763,595.55 = 259,713.30 : x
  2. Step 2: Convert to fraction form
    509,063.70/763,595.55 = 259,713.30/x
  3. Step 3: Cross multiply
    509,063.70x = 763,595.55 × 259,713.30
  4. Step 4: Simplify right side
    509,063.70x = 198,315,920,155.82
  5. Step 5: Solve for x
    x = 198,315,920,155.82/509,063.70
  6. Step 6: Final answer
    x = 389,569.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.