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Finding the Fourth Proportional to 475,496.87, 713,248.13 and 120,511.94

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Solution

The fourth proportional to 475,496.87, 713,248.13 and 120,511.94 is: 180,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,496.87 : 713,248.13 = 120,511.94 : x
  2. Step 2: Convert to fraction form
    475,496.87/713,248.13 = 120,511.94/x
  3. Step 3: Cross multiply
    475,496.87x = 713,248.13 × 120,511.94
  4. Step 4: Simplify right side
    475,496.87x = 85,954,911,678.87
  5. Step 5: Solve for x
    x = 85,954,911,678.87/475,496.87
  6. Step 6: Final answer
    x = 180,768.62

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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.