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Finding the Fourth Proportional to 523,685.66, 785,872.94 and 287,194.41

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Solution

The fourth proportional to 523,685.66, 785,872.94 and 287,194.41 is: 430,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,685.66 : 785,872.94 = 287,194.41 : x
  2. Step 2: Convert to fraction form
    523,685.66/785,872.94 = 287,194.41/x
  3. Step 3: Cross multiply
    523,685.66x = 785,872.94 × 287,194.41
  4. Step 4: Simplify right side
    523,685.66x = 225,698,313,902.29
  5. Step 5: Solve for x
    x = 225,698,313,902.29/523,685.66
  6. Step 6: Final answer
    x = 430,980.52

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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.