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Finding the Fourth Proportional to 686,221.56, 946,972.13 and 380,291.59

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Solution

The fourth proportional to 686,221.56, 946,972.13 and 380,291.59 is: 524,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,221.56 : 946,972.13 = 380,291.59 : x
  2. Step 2: Convert to fraction form
    686,221.56/946,972.13 = 380,291.59/x
  3. Step 3: Cross multiply
    686,221.56x = 946,972.13 × 380,291.59
  4. Step 4: Simplify right side
    686,221.56x = 360,125,536,285.64
  5. Step 5: Solve for x
    x = 360,125,536,285.64/686,221.56
  6. Step 6: Final answer
    x = 524,794.84

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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.