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Finding the Fourth Proportional to 377,542.24, 565,919.60 and 153,057.60

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Solution

The fourth proportional to 377,542.24, 565,919.60 and 153,057.60 is: 229,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,542.24 : 565,919.60 = 153,057.60 : x
  2. Step 2: Convert to fraction form
    377,542.24/565,919.60 = 153,057.60/x
  3. Step 3: Cross multiply
    377,542.24x = 565,919.60 × 153,057.60
  4. Step 4: Simplify right side
    377,542.24x = 86,618,295,768.96
  5. Step 5: Solve for x
    x = 86,618,295,768.96/377,542.24
  6. Step 6: Final answer
    x = 229,426.77

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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.