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Finding the Fourth Proportional to 446,692.40, 616,437.96 and 242,744.96

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Solution

The fourth proportional to 446,692.40, 616,437.96 and 242,744.96 is: 334,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,692.40 : 616,437.96 = 242,744.96 : x
  2. Step 2: Convert to fraction form
    446,692.40/616,437.96 = 242,744.96/x
  3. Step 3: Cross multiply
    446,692.40x = 616,437.96 × 242,744.96
  4. Step 4: Simplify right side
    446,692.40x = 149,637,207,942.68
  5. Step 5: Solve for x
    x = 149,637,207,942.68/446,692.40
  6. Step 6: Final answer
    x = 334,989.38

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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.