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Finding the Fourth Proportional to 652,068.55, 978,102.83 and 202,817.80

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Solution

The fourth proportional to 652,068.55, 978,102.83 and 202,817.80 is: 304,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,068.55 : 978,102.83 = 202,817.80 : x
  2. Step 2: Convert to fraction form
    652,068.55/978,102.83 = 202,817.80/x
  3. Step 3: Cross multiply
    652,068.55x = 978,102.83 × 202,817.80
  4. Step 4: Simplify right side
    652,068.55x = 198,376,664,154.37
  5. Step 5: Solve for x
    x = 198,376,664,154.37/652,068.55
  6. Step 6: Final answer
    x = 304,226.70

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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.