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Finding the Fourth Proportional to 652,284.44, 978,321.70 and 178,859.96

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Solution

The fourth proportional to 652,284.44, 978,321.70 and 178,859.96 is: 268,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,284.44 : 978,321.70 = 178,859.96 : x
  2. Step 2: Convert to fraction form
    652,284.44/978,321.70 = 178,859.96/x
  3. Step 3: Cross multiply
    652,284.44x = 978,321.70 × 178,859.96
  4. Step 4: Simplify right side
    652,284.44x = 174,982,580,129.13
  5. Step 5: Solve for x
    x = 174,982,580,129.13/652,284.44
  6. Step 6: Final answer
    x = 268,261.16

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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.