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Finding the Fourth Proportional to 557,755, 769,706.84 and 303,106.20

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Solution

The fourth proportional to 557,755, 769,706.84 and 303,106.20 is: 418,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,755 : 769,706.84 = 303,106.20 : x
  2. Step 2: Convert to fraction form
    557,755/769,706.84 = 303,106.20/x
  3. Step 3: Cross multiply
    557,755x = 769,706.84 × 303,106.20
  4. Step 4: Simplify right side
    557,755x = 233,302,915,386.41
  5. Step 5: Solve for x
    x = 233,302,915,386.41/557,755
  6. Step 6: Final answer
    x = 418,289.24

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