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Finding the Fourth Proportional to 303,399.40, 455,358.30 and 135,178.60

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Solution

The fourth proportional to 303,399.40, 455,358.30 and 135,178.60 is: 202,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,399.40 : 455,358.30 = 135,178.60 : x
  2. Step 2: Convert to fraction form
    303,399.40/455,358.30 = 135,178.60/x
  3. Step 3: Cross multiply
    303,399.40x = 455,358.30 × 135,178.60
  4. Step 4: Simplify right side
    303,399.40x = 61,554,697,492.38
  5. Step 5: Solve for x
    x = 61,554,697,492.38/303,399.40
  6. Step 6: Final answer
    x = 202,883.39

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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.