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Finding the Fourth Proportional to 464,362.26, 696,424.95 and 144,451.56

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Solution

The fourth proportional to 464,362.26, 696,424.95 and 144,451.56 is: 216,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,362.26 : 696,424.95 = 144,451.56 : x
  2. Step 2: Convert to fraction form
    464,362.26/696,424.95 = 144,451.56/x
  3. Step 3: Cross multiply
    464,362.26x = 696,424.95 × 144,451.56
  4. Step 4: Simplify right side
    464,362.26x = 100,599,670,450.42
  5. Step 5: Solve for x
    x = 100,599,670,450.42/464,362.26
  6. Step 6: Final answer
    x = 216,640.50

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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.