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Finding the Fourth Proportional to 446,763.14, 616,537.17 and 242,814.55

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Solution

The fourth proportional to 446,763.14, 616,537.17 and 242,814.55 is: 335,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,763.14 : 616,537.17 = 242,814.55 : x
  2. Step 2: Convert to fraction form
    446,763.14/616,537.17 = 242,814.55/x
  3. Step 3: Cross multiply
    446,763.14x = 616,537.17 × 242,814.55
  4. Step 4: Simplify right side
    446,763.14x = 149,704,192,409.14
  5. Step 5: Solve for x
    x = 149,704,192,409.14/446,763.14
  6. Step 6: Final answer
    x = 335,086.27

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1.5x scale

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.