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Finding the Fourth Proportional to 475,499.87, 713,252.63 and 120,514.94

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Solution

The fourth proportional to 475,499.87, 713,252.63 and 120,514.94 is: 180,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,499.87 : 713,252.63 = 120,514.94 : x
  2. Step 2: Convert to fraction form
    475,499.87/713,252.63 = 120,514.94/x
  3. Step 3: Cross multiply
    475,499.87x = 713,252.63 × 120,514.94
  4. Step 4: Simplify right side
    475,499.87x = 85,957,593,740.45
  5. Step 5: Solve for x
    x = 85,957,593,740.45/475,499.87
  6. Step 6: Final answer
    x = 180,773.12

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Why These Related Problems?

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