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Finding the Fourth Proportional to 686,269.62, 946,825.23 and 414,234.18

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Solution

The fourth proportional to 686,269.62, 946,825.23 and 414,234.18 is: 571,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,269.62 : 946,825.23 = 414,234.18 : x
  2. Step 2: Convert to fraction form
    686,269.62/946,825.23 = 414,234.18/x
  3. Step 3: Cross multiply
    686,269.62x = 946,825.23 × 414,234.18
  4. Step 4: Simplify right side
    686,269.62x = 392,207,372,752.36
  5. Step 5: Solve for x
    x = 392,207,372,752.36/686,269.62
  6. Step 6: Final answer
    x = 571,506.24

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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.