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Finding the Fourth Proportional to 446,761.84, 616,536.06 and 242,812.78

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Solution

The fourth proportional to 446,761.84, 616,536.06 and 242,812.78 is: 335,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,761.84 : 616,536.06 = 242,812.78 : x
  2. Step 2: Convert to fraction form
    446,761.84/616,536.06 = 242,812.78/x
  3. Step 3: Cross multiply
    446,761.84x = 616,536.06 × 242,812.78
  4. Step 4: Simplify right side
    446,761.84x = 149,702,834,698.85
  5. Step 5: Solve for x
    x = 149,702,834,698.85/446,761.84
  6. Step 6: Final answer
    x = 335,084.20

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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.