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Finding the Fourth Proportional to 686,683.17, 947,433.00 and 396,274.78

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Solution

The fourth proportional to 686,683.17, 947,433.00 and 396,274.78 is: 546,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,683.17 : 947,433.00 = 396,274.78 : x
  2. Step 2: Convert to fraction form
    686,683.17/947,433.00 = 396,274.78/x
  3. Step 3: Cross multiply
    686,683.17x = 947,433.00 × 396,274.78
  4. Step 4: Simplify right side
    686,683.17x = 375,443,806,310.06
  5. Step 5: Solve for x
    x = 375,443,806,310.06/686,683.17
  6. Step 6: Final answer
    x = 546,749.68

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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.