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Finding the Fourth Proportional to 686,153.16, 946,896.96 and 380,234.70

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Solution

The fourth proportional to 686,153.16, 946,896.96 and 380,234.70 is: 524,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,153.16 : 946,896.96 = 380,234.70 : x
  2. Step 2: Convert to fraction form
    686,153.16/946,896.96 = 380,234.70/x
  3. Step 3: Cross multiply
    686,153.16x = 946,896.96 × 380,234.70
  4. Step 4: Simplify right side
    686,153.16x = 360,043,081,516.51
  5. Step 5: Solve for x
    x = 360,043,081,516.51/686,153.16
  6. Step 6: Final answer
    x = 524,726.99

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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.