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Finding the Fourth Proportional to 523,693.41, 785,884.56 and 287,202.16

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Solution

The fourth proportional to 523,693.41, 785,884.56 and 287,202.16 is: 430,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,693.41 : 785,884.56 = 287,202.16 : x
  2. Step 2: Convert to fraction form
    523,693.41/785,884.56 = 287,202.16/x
  3. Step 3: Cross multiply
    523,693.41x = 785,884.56 × 287,202.16
  4. Step 4: Simplify right side
    523,693.41x = 225,707,743,142.65
  5. Step 5: Solve for x
    x = 225,707,743,142.65/523,693.41
  6. Step 6: Final answer
    x = 430,992.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.