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Finding the Fourth Proportional to 303,033.12, 418,093.02 and 175,683.30

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Solution

The fourth proportional to 303,033.12, 418,093.02 and 175,683.30 is: 242,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,033.12 : 418,093.02 = 175,683.30 : x
  2. Step 2: Convert to fraction form
    303,033.12/418,093.02 = 175,683.30/x
  3. Step 3: Cross multiply
    303,033.12x = 418,093.02 × 175,683.30
  4. Step 4: Simplify right side
    303,033.12x = 73,451,961,460.57
  5. Step 5: Solve for x
    x = 73,451,961,460.57/303,033.12
  6. Step 6: Final answer
    x = 242,389.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.