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Finding the Fourth Proportional to 420,486.39, 580,265.37 and 229,496.49

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Solution

The fourth proportional to 420,486.39, 580,265.37 and 229,496.49 is: 316,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,486.39 : 580,265.37 = 229,496.49 : x
  2. Step 2: Convert to fraction form
    420,486.39/580,265.37 = 229,496.49/x
  3. Step 3: Cross multiply
    420,486.39x = 580,265.37 × 229,496.49
  4. Step 4: Simplify right side
    420,486.39x = 133,168,865,683.55
  5. Step 5: Solve for x
    x = 133,168,865,683.55/420,486.39
  6. Step 6: Final answer
    x = 316,701.96

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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.