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Finding the Fourth Proportional to 349,262.70, 523,455.75 and 149,348.04

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Solution

The fourth proportional to 349,262.70, 523,455.75 and 149,348.04 is: 223,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,262.70 : 523,455.75 = 149,348.04 : x
  2. Step 2: Convert to fraction form
    349,262.70/523,455.75 = 149,348.04/x
  3. Step 3: Cross multiply
    349,262.70x = 523,455.75 × 149,348.04
  4. Step 4: Simplify right side
    349,262.70x = 78,177,090,289.23
  5. Step 5: Solve for x
    x = 78,177,090,289.23/349,262.70
  6. Step 6: Final answer
    x = 223,834.64

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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.