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Finding the Fourth Proportional to 467,208.70, 700,975.68 and 147,409.94

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Solution

The fourth proportional to 467,208.70, 700,975.68 and 147,409.94 is: 221,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,208.70 : 700,975.68 = 147,409.94 : x
  2. Step 2: Convert to fraction form
    467,208.70/700,975.68 = 147,409.94/x
  3. Step 3: Cross multiply
    467,208.70x = 700,975.68 × 147,409.94
  4. Step 4: Simplify right side
    467,208.70x = 103,330,782,930.26
  5. Step 5: Solve for x
    x = 103,330,782,930.26/467,208.70
  6. Step 6: Final answer
    x = 221,166.22

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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.