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Finding the Fourth Proportional to 652,160.70, 978,241.05 and 333,296.10

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Solution

The fourth proportional to 652,160.70, 978,241.05 and 333,296.10 is: 499,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,160.70 : 978,241.05 = 333,296.10 : x
  2. Step 2: Convert to fraction form
    652,160.70/978,241.05 = 333,296.10/x
  3. Step 3: Cross multiply
    652,160.70x = 978,241.05 × 333,296.10
  4. Step 4: Simplify right side
    652,160.70x = 326,043,926,824.91
  5. Step 5: Solve for x
    x = 326,043,926,824.91/652,160.70
  6. Step 6: Final answer
    x = 499,944.15

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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.