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Finding the Fourth Proportional to 686,230.16, 946,770.77 and 414,194.70

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Solution

The fourth proportional to 686,230.16, 946,770.77 and 414,194.70 is: 571,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,230.16 : 946,770.77 = 414,194.70 : x
  2. Step 2: Convert to fraction form
    686,230.16/946,770.77 = 414,194.70/x
  3. Step 3: Cross multiply
    686,230.16x = 946,770.77 × 414,194.70
  4. Step 4: Simplify right side
    686,230.16x = 392,147,432,977.95
  5. Step 5: Solve for x
    x = 392,147,432,977.95/686,230.16
  6. Step 6: Final answer
    x = 571,451.76

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Double scale
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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.