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Finding the Fourth Proportional to 686,103.39, 946,808.54 and 380,177.10

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Solution

The fourth proportional to 686,103.39, 946,808.54 and 380,177.10 is: 524,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,103.39 : 946,808.54 = 380,177.10 : x
  2. Step 2: Convert to fraction form
    686,103.39/946,808.54 = 380,177.10/x
  3. Step 3: Cross multiply
    686,103.39x = 946,808.54 × 380,177.10
  4. Step 4: Simplify right side
    686,103.39x = 359,954,923,091.55
  5. Step 5: Solve for x
    x = 359,954,923,091.55/686,103.39
  6. Step 6: Final answer
    x = 524,636.56

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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.