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Finding the Fourth Proportional to 515,697.14, 711,626.42 and 286,236.38

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Solution

The fourth proportional to 515,697.14, 711,626.42 and 286,236.38 is: 394,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,697.14 : 711,626.42 = 286,236.38 : x
  2. Step 2: Convert to fraction form
    515,697.14/711,626.42 = 286,236.38/x
  3. Step 3: Cross multiply
    515,697.14x = 711,626.42 × 286,236.38
  4. Step 4: Simplify right side
    515,697.14x = 203,693,370,373.16
  5. Step 5: Solve for x
    x = 203,693,370,373.16/515,697.14
  6. Step 6: Final answer
    x = 394,986.43

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Double scale
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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.