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Finding the Fourth Proportional to 652,327.39, 978,256.60 and 225,747.42

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Solution

The fourth proportional to 652,327.39, 978,256.60 and 225,747.42 is: 338,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,327.39 : 978,256.60 = 225,747.42 : x
  2. Step 2: Convert to fraction form
    652,327.39/978,256.60 = 225,747.42/x
  3. Step 3: Cross multiply
    652,327.39x = 978,256.60 × 225,747.42
  4. Step 4: Simplify right side
    652,327.39x = 220,838,903,547.97
  5. Step 5: Solve for x
    x = 220,838,903,547.97/652,327.39
  6. Step 6: Final answer
    x = 338,539.98

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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.