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Finding the Fourth Proportional to 365,748.60, 547,553.70 and 260,772.60

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Solution

The fourth proportional to 365,748.60, 547,553.70 and 260,772.60 is: 390,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,748.60 : 547,553.70 = 260,772.60 : x
  2. Step 2: Convert to fraction form
    365,748.60/547,553.70 = 260,772.60/x
  3. Step 3: Cross multiply
    365,748.60x = 547,553.70 × 260,772.60
  4. Step 4: Simplify right side
    365,748.60x = 142,787,001,988.62
  5. Step 5: Solve for x
    x = 142,787,001,988.62/365,748.60
  6. Step 6: Final answer
    x = 390,396.58

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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.