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Finding the Fourth Proportional to 418,234.32, 626,509.49 and 193,284.97

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Solution

The fourth proportional to 418,234.32, 626,509.49 and 193,284.97 is: 289,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,234.32 : 626,509.49 = 193,284.97 : x
  2. Step 2: Convert to fraction form
    418,234.32/626,509.49 = 193,284.97/x
  3. Step 3: Cross multiply
    418,234.32x = 626,509.49 × 193,284.97
  4. Step 4: Simplify right side
    418,234.32x = 121,094,865,446.67
  5. Step 5: Solve for x
    x = 121,094,865,446.67/418,234.32
  6. Step 6: Final answer
    x = 289,538.33

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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.