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Finding the Fourth Proportional to 686,105.56, 946,846.44 and 380,153.32

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Solution

The fourth proportional to 686,105.56, 946,846.44 and 380,153.32 is: 524,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,105.56 : 946,846.44 = 380,153.32 : x
  2. Step 2: Convert to fraction form
    686,105.56/946,846.44 = 380,153.32/x
  3. Step 3: Cross multiply
    686,105.56x = 946,846.44 × 380,153.32
  4. Step 4: Simplify right side
    686,105.56x = 359,946,817,696.18
  5. Step 5: Solve for x
    x = 359,946,817,696.18/686,105.56
  6. Step 6: Final answer
    x = 524,623.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.