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Finding the Fourth Proportional to 686,110.70, 946,865.90 and 414,173.66

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Solution

The fourth proportional to 686,110.70, 946,865.90 and 414,173.66 is: 571,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,110.70 : 946,865.90 = 414,173.66 : x
  2. Step 2: Convert to fraction form
    686,110.70/946,865.90 = 414,173.66/x
  3. Step 3: Cross multiply
    686,110.70x = 946,865.90 × 414,173.66
  4. Step 4: Simplify right side
    686,110.70x = 392,166,911,633.30
  5. Step 5: Solve for x
    x = 392,166,911,633.30/686,110.70
  6. Step 6: Final answer
    x = 571,579.64

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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.