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Finding the Fourth Proportional to 686,194.34, 946,920.85 and 380,283.80

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Solution

The fourth proportional to 686,194.34, 946,920.85 and 380,283.80 is: 524,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,194.34 : 946,920.85 = 380,283.80 : x
  2. Step 2: Convert to fraction form
    686,194.34/946,920.85 = 380,283.80/x
  3. Step 3: Cross multiply
    686,194.34x = 946,920.85 × 380,283.80
  4. Step 4: Simplify right side
    686,194.34x = 360,098,653,451.92
  5. Step 5: Solve for x
    x = 360,098,653,451.92/686,194.34
  6. Step 6: Final answer
    x = 524,776.49

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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.