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Finding the Fourth Proportional to 377,688.40, 567,188.70 and 200,541.40

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Solution

The fourth proportional to 377,688.40, 567,188.70 and 200,541.40 is: 301,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,688.40 : 567,188.70 = 200,541.40 : x
  2. Step 2: Convert to fraction form
    377,688.40/567,188.70 = 200,541.40/x
  3. Step 3: Cross multiply
    377,688.40x = 567,188.70 × 200,541.40
  4. Step 4: Simplify right side
    377,688.40x = 113,744,815,962.18
  5. Step 5: Solve for x
    x = 113,744,815,962.18/377,688.40
  6. Step 6: Final answer
    x = 301,160.47

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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.