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Finding the Fourth Proportional to 652,284.70, 978,427.05 and 439,708.30

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Solution

The fourth proportional to 652,284.70, 978,427.05 and 439,708.30 is: 659,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,284.70 : 978,427.05 = 439,708.30 : x
  2. Step 2: Convert to fraction form
    652,284.70/978,427.05 = 439,708.30/x
  3. Step 3: Cross multiply
    652,284.70x = 978,427.05 × 439,708.30
  4. Step 4: Simplify right side
    652,284.70x = 430,222,494,829.52
  5. Step 5: Solve for x
    x = 430,222,494,829.52/652,284.70
  6. Step 6: Final answer
    x = 659,562.45

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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.