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Finding the Fourth Proportional to 471,049.66, 706,574.84 and 116,063.68

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Solution

The fourth proportional to 471,049.66, 706,574.84 and 116,063.68 is: 174,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,049.66 : 706,574.84 = 116,063.68 : x
  2. Step 2: Convert to fraction form
    471,049.66/706,574.84 = 116,063.68/x
  3. Step 3: Cross multiply
    471,049.66x = 706,574.84 × 116,063.68
  4. Step 4: Simplify right side
    471,049.66x = 82,007,676,428.71
  5. Step 5: Solve for x
    x = 82,007,676,428.71/471,049.66
  6. Step 6: Final answer
    x = 174,095.61

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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.