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Finding the Fourth Proportional to 515,680.40, 711,627.90 and 286,224.32

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Solution

The fourth proportional to 515,680.40, 711,627.90 and 286,224.32 is: 394,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,680.40 : 711,627.90 = 286,224.32 : x
  2. Step 2: Convert to fraction form
    515,680.40/711,627.90 = 286,224.32/x
  3. Step 3: Cross multiply
    515,680.40x = 711,627.90 × 286,224.32
  4. Step 4: Simplify right side
    515,680.40x = 203,685,211,770.53
  5. Step 5: Solve for x
    x = 203,685,211,770.53/515,680.40
  6. Step 6: Final answer
    x = 394,983.43

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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.