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Finding the Fourth Proportional to 464,735.26, 696,957.09 and 149,122

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Solution

The fourth proportional to 464,735.26, 696,957.09 and 149,122 is: 223,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,735.26 : 696,957.09 = 149,122 : x
  2. Step 2: Convert to fraction form
    464,735.26/696,957.09 = 149,122/x
  3. Step 3: Cross multiply
    464,735.26x = 696,957.09 × 149,122
  4. Step 4: Simplify right side
    464,735.26x = 103,931,635,174.98
  5. Step 5: Solve for x
    x = 103,931,635,174.98/464,735.26
  6. Step 6: Final answer
    x = 223,636.22

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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.