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Finding the Fourth Proportional to 515,618.64, 711,558 and 286,191.84

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Solution

The fourth proportional to 515,618.64, 711,558 and 286,191.84 is: 394,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,618.64 : 711,558 = 286,191.84 : x
  2. Step 2: Convert to fraction form
    515,618.64/711,558 = 286,191.84/x
  3. Step 3: Cross multiply
    515,618.64x = 711,558 × 286,191.84
  4. Step 4: Simplify right side
    515,618.64x = 203,642,093,286.72
  5. Step 5: Solve for x
    x = 203,642,093,286.72/515,618.64
  6. Step 6: Final answer
    x = 394,947.11

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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.