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Finding the Fourth Proportional to 523,693.16, 785,884.19 and 287,201.91

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Solution

The fourth proportional to 523,693.16, 785,884.19 and 287,201.91 is: 430,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,693.16 : 785,884.19 = 287,201.91 : x
  2. Step 2: Convert to fraction form
    523,693.16/785,884.19 = 287,201.91/x
  3. Step 3: Cross multiply
    523,693.16x = 785,884.19 × 287,201.91
  4. Step 4: Simplify right side
    523,693.16x = 225,707,438,970.79
  5. Step 5: Solve for x
    x = 225,707,438,970.79/523,693.16
  6. Step 6: Final answer
    x = 430,991.77

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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.