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Finding the Fourth Proportional to 296,504.64, 409,168.82 and 165,683.38

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Solution

The fourth proportional to 296,504.64, 409,168.82 and 165,683.38 is: 228,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,504.64 : 409,168.82 = 165,683.38 : x
  2. Step 2: Convert to fraction form
    296,504.64/409,168.82 = 165,683.38/x
  3. Step 3: Cross multiply
    296,504.64x = 409,168.82 × 165,683.38
  4. Step 4: Simplify right side
    296,504.64x = 67,792,473,088.21
  5. Step 5: Solve for x
    x = 67,792,473,088.21/296,504.64
  6. Step 6: Final answer
    x = 228,638.83

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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.