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Finding the Fourth Proportional to 377,154.90, 566,388.45 and 200,007.90

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Solution

The fourth proportional to 377,154.90, 566,388.45 and 200,007.90 is: 300,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,154.90 : 566,388.45 = 200,007.90 : x
  2. Step 2: Convert to fraction form
    377,154.90/566,388.45 = 200,007.90/x
  3. Step 3: Cross multiply
    377,154.90x = 566,388.45 × 200,007.90
  4. Step 4: Simplify right side
    377,154.90x = 113,282,164,468.76
  5. Step 5: Solve for x
    x = 113,282,164,468.76/377,154.90
  6. Step 6: Final answer
    x = 300,359.78

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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.