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Finding the Fourth Proportional to 464,361.89, 696,545.26 and 211,466.03

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Solution

The fourth proportional to 464,361.89, 696,545.26 and 211,466.03 is: 317,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,361.89 : 696,545.26 = 211,466.03 : x
  2. Step 2: Convert to fraction form
    464,361.89/696,545.26 = 211,466.03/x
  3. Step 3: Cross multiply
    464,361.89x = 696,545.26 × 211,466.03
  4. Step 4: Simplify right side
    464,361.89x = 147,295,656,836.13
  5. Step 5: Solve for x
    x = 147,295,656,836.13/464,361.89
  6. Step 6: Final answer
    x = 317,200.14

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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.