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Finding the Fourth Proportional to 557,763.70, 769,496.58 and 412,916.18

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Solution

The fourth proportional to 557,763.70, 769,496.58 and 412,916.18 is: 569,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,763.70 : 769,496.58 = 412,916.18 : x
  2. Step 2: Convert to fraction form
    557,763.70/769,496.58 = 412,916.18/x
  3. Step 3: Cross multiply
    557,763.70x = 769,496.58 × 412,916.18
  4. Step 4: Simplify right side
    557,763.70x = 317,737,588,336.66
  5. Step 5: Solve for x
    x = 317,737,588,336.66/557,763.70
  6. Step 6: Final answer
    x = 569,663.44

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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.