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Finding the Fourth Proportional to 269,564.70, 404,152.65 and 176,123.10

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Solution

The fourth proportional to 269,564.70, 404,152.65 and 176,123.10 is: 264,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.70 : 404,152.65 = 176,123.10 : x
  2. Step 2: Convert to fraction form
    269,564.70/404,152.65 = 176,123.10/x
  3. Step 3: Cross multiply
    269,564.70x = 404,152.65 × 176,123.10
  4. Step 4: Simplify right side
    269,564.70x = 71,180,617,591.22
  5. Step 5: Solve for x
    x = 71,180,617,591.22/269,564.70
  6. Step 6: Final answer
    x = 264,057.64

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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.