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Finding the Fourth Proportional to 446,663.85, 616,146.51 and 274,462.17

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Solution

The fourth proportional to 446,663.85, 616,146.51 and 274,462.17 is: 378,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,663.85 : 616,146.51 = 274,462.17 : x
  2. Step 2: Convert to fraction form
    446,663.85/616,146.51 = 274,462.17/x
  3. Step 3: Cross multiply
    446,663.85x = 616,146.51 × 274,462.17
  4. Step 4: Simplify right side
    446,663.85x = 169,108,908,172.53
  5. Step 5: Solve for x
    x = 169,108,908,172.53/446,663.85
  6. Step 6: Final answer
    x = 378,604.42

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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.