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Finding the Fourth Proportional to 468,705.27, 646,814.93 and 253,844.67

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Solution

The fourth proportional to 468,705.27, 646,814.93 and 253,844.67 is: 350,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,705.27 : 646,814.93 = 253,844.67 : x
  2. Step 2: Convert to fraction form
    468,705.27/646,814.93 = 253,844.67/x
  3. Step 3: Cross multiply
    468,705.27x = 646,814.93 × 253,844.67
  4. Step 4: Simplify right side
    468,705.27x = 164,190,521,187.70
  5. Step 5: Solve for x
    x = 164,190,521,187.70/468,705.27
  6. Step 6: Final answer
    x = 350,306.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.