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Finding the Fourth Proportional to 302,042.70, 453,409.65 and 177,453.90

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Solution

The fourth proportional to 302,042.70, 453,409.65 and 177,453.90 is: 266,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.70 : 453,409.65 = 177,453.90 : x
  2. Step 2: Convert to fraction form
    302,042.70/453,409.65 = 177,453.90/x
  3. Step 3: Cross multiply
    302,042.70x = 453,409.65 × 177,453.90
  4. Step 4: Simplify right side
    302,042.70x = 80,459,310,690.14
  5. Step 5: Solve for x
    x = 80,459,310,690.14/302,042.70
  6. Step 6: Final answer
    x = 266,383.89

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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.