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Finding the Fourth Proportional to 517,099.69, 713,588.97 and 287,654.23

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Solution

The fourth proportional to 517,099.69, 713,588.97 and 287,654.23 is: 396,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,099.69 : 713,588.97 = 287,654.23 : x
  2. Step 2: Convert to fraction form
    517,099.69/713,588.97 = 287,654.23/x
  3. Step 3: Cross multiply
    517,099.69x = 713,588.97 × 287,654.23
  4. Step 4: Simplify right side
    517,099.69x = 205,266,885,701.84
  5. Step 5: Solve for x
    x = 205,266,885,701.84/517,099.69
  6. Step 6: Final answer
    x = 396,958.05

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Double scale
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Similar ratio
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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.