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Finding the Fourth Proportional to 377,156.40, 566,390.70 and 200,009.40

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Solution

The fourth proportional to 377,156.40, 566,390.70 and 200,009.40 is: 300,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,156.40 : 566,390.70 = 200,009.40 : x
  2. Step 2: Convert to fraction form
    377,156.40/566,390.70 = 200,009.40/x
  3. Step 3: Cross multiply
    377,156.40x = 566,390.70 × 200,009.40
  4. Step 4: Simplify right side
    377,156.40x = 113,283,464,072.58
  5. Step 5: Solve for x
    x = 113,283,464,072.58/377,156.40
  6. Step 6: Final answer
    x = 300,362.04

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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.