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Finding the Fourth Proportional to 284,693.54, 427,040.46 and 74,331.47

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Solution

The fourth proportional to 284,693.54, 427,040.46 and 74,331.47 is: 111,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,693.54 : 427,040.46 = 74,331.47 : x
  2. Step 2: Convert to fraction form
    284,693.54/427,040.46 = 74,331.47/x
  3. Step 3: Cross multiply
    284,693.54x = 427,040.46 × 74,331.47
  4. Step 4: Simplify right side
    284,693.54x = 31,742,546,208.88
  5. Step 5: Solve for x
    x = 31,742,546,208.88/284,693.54
  6. Step 6: Final answer
    x = 111,497.25

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1.5x scale

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.